Minesweeper oddities and their probabilities: 8, 77, 8-8; no 0,1,2 boards; 1-click boards.

Рет қаралды 831,397

Күн бұрын

Final video in the minesweeper series. Following comments to the previous video, I simulated more boards in search of more odd stuff: 8, 77, 3x3 mines, 8s in a shape of an 8. Boards with no zeros, no 1s, no 2s and boards that are solved in 1 click.
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Timecodes:
0:00 Intro
1:55 What about 9?
3:25 Beginner size?
5:13 Why simulate?
6:12 Are mines random?
6:47 Pseudo-random?
7:42 First click?
8:51 Other issues (3BV)?
9:33 Chance of 8
10:03 Chance of 3x3 mines
11:02 Chance of 77
11:29 Chance of 8s in the shape of 8
13:20 Chance of "no 2s"
13:50 Chance of "no 0s"
14:11 Chance of "no 1s"
14:30 Chance of 1 click game
15:59 Outro
Corrections:
1. Chance of 3x3 in Beginner. I ran a bigger simulation and it showed the result close enough to theoretical 76M. My concern was caused by poorly designed simulation (I told you it can happen!)
2. I ran better experiment with 2 8s too. The chance of two 8s, that are not "in the shape of 8" is actually a bit lower, around 1 in 1.7-1.8M. Which makes my finding even more fascinating. So it is slightly more probable to see "two 8s in the shape of 8" than "two 8s not in the shape of 8". Even more amazing!
Although it looks like I am the only one who didn't see that coming. You guys probably saw birthday paradox for the first time, and went "Duh!" :)
Previous Minesweeper videos:
- what's the chance of 8 in Minesweeper: • What is the chance of ...
- Python bot playing minesweeper: • Python script beats Mi...
3D minesweeper: egraether.com/mine3d/beta/
4D minesweeper, if 3D's too easy for you (on Steam, free): store.steampowered.com/app/78...
(Thanks Hating Mirror for the tip)
Here's a Google Sheet with the basic probability formula for you to play with (it covers things like 8, 3x3, 77, 8in8): docs.google.com/spreadsheets/...

Пікірлер: 1 100

@sharpfang 2 жыл бұрын

"Yes, but what about 27" - Oh, hello. Glad you asked. Don't stand up now. Under your chair there is a bomb. It will blow up if you stand up, or if the square you uncover in the next game you play is a bomb. The bomb under your chair will self-disarm if you successfully mark all the bombs on the board. Welcome to 4D minesweeper, where the highest number you can uncover is 80. Oh, also, if you ask about 81, the bomb under your chair will blow up.

@incription 2 жыл бұрын

That's childsplay: In 5D minesweeper with multiverses and time travel, you have to worry about uncovered mines in the past blowing you up. And don't even mention grandfather mines.

@nef36 2 жыл бұрын

@@incription I used to be a big fan of 5D minesweeper with Multiverse Time travel, it's too bad things like the terminator gambit, Jurassic moves, and the exile strategy have made the game stale and unfun

@JalebJay 2 жыл бұрын

What about 81? What about 243? What about...?

@bluetom93 2 жыл бұрын

@@JalebJay SILENCE MORTAL. YOU WISH TO PLAY.... D MINESWEEPER?

@claudetheclaudeqc6600 2 жыл бұрын

what about 69E^69 billionsD minesweeper

@EebstertheGreat 2 жыл бұрын

In Minesweeper, a "9" is a 3x3 array of mines. It's not a real number you can get. However, it is exceptionally rare.

@GamesComputersPlay 2 жыл бұрын

I kinda suspected that, but never got a proof. Now, looking back, the nine questions were too persistent to be pure trolling.

@gadgetlab7 2 жыл бұрын

@@GamesComputersPlay yeah its pretty much universal to call that a 9 in the minesweeper community, its also universally hated by everyone

@pokepress 2 жыл бұрын

I assume the part where it gets really bad is where you have two 3*3 groups that have a ring of mines on the outside, but you know based on the number of remaining mines that one has a mine in the middle, and the other doesn’t, basically making you make a blind 50/50 guess.

@valseedian 2 жыл бұрын

@@pokepress expert games are highly likely to end in a true 50:50 guess. more than 50% but probably not much more. I think the linear algebra solving technique can reach 45% solve success but I'm not sure if that includes successful 50:50 guesses. my own solver will halt and start a new game if it detects any 50:50 guess, but it only looks for those if there are no detectable safe squares. but my solver doesn't detect 7s exactly (because 7s are the same color as bombs if i only detect 3 bombs or less on a board I treat them all as 7s) and won't detect 8s at all because they aren't solve probative.

@OrangeC7 2 жыл бұрын

My first thought was that you actually could have numbers greater than 9 in a minesweeper board with hyperbolic geometry

@EvilParagon4 2 жыл бұрын

Back in highschool I used to always play a 83x38 custom board with 750 mines to pass the day instead of doing classwork. This was basically fullscreen minesweeper for my laptop and had a density of 23.78%, so just a little bit harder than expert. It took me a whole year to finally win a game lol. It took about 4 hours to get to the end game, but with a board and density of that size, the probability of getting way 4-6 pure 50/50 choices was basically guaranteed. It was a coinflip until you win at that point. Keep in mind you need to first get to that stage, which could have misclicks or even just a small but quick lapse in thinking could end your entire game.

@KazyEXE 2 жыл бұрын

Same but with 10 mines.

@IDGs_space 2 жыл бұрын

my best is 99 mines and I'm a freshman haha (that also means I've pretty much beaten the Google version since there aren't custom boards)

@MyWaifuNow 2 жыл бұрын

i have ended many, many games with a miss click

@NickSmith-zm4kw Жыл бұрын

my middle school dream

@CycleMantis Жыл бұрын

@@MyWaifuNow it's technically a bit slower, but I'm quite partial to playing minesweeper with keyboard only (especially better than a laptop trackpad)

@mallomon 2 жыл бұрын

For the 8 in the shape of an 8, it made some sense to me. If you have one 8 already, you're using 8 of your mines in that 8, and these 8 mines are arranged in four edges of three consecutive mines. If you are to have another 8 on the board, starting with one of those edges gets you 3/8 of the way there, and requires you to use up three fewer of the total mine allotment. So it should be much more likely than random chance that, knowing you have an 8 on the board already, and knowing you have a second 8 somewhere, the second 8 would share an edge with the first

@radeklew1 2 жыл бұрын

Yes, two 8s involve the positions of 16 mines, while a figure 8 only involves 13 mines, but with additional constraints on position, so it mrke sense that those two effects roughly cancel each other out

@GamesComputersPlay 2 жыл бұрын

You (and other people saying they were not surprised) seem to have a well tuned probability intuition. Now, when I know the answer - yeah, I guess it makes sense. Bit when I saw the results for the first time, I was really suspicious there was a bug somewhere. Was totally in disagreement with my intuition, and even nwo it still rubs against it a little. For me it stands right next to the birthday paradox and Monty Hall paradox. (which fooled my intuition too the first time)

@platinummyrr 2 жыл бұрын

yup. The fact that 8s can re-use the same mines is why its much more likely!

@jonathanblake831 2 жыл бұрын

@@GamesComputersPlay Honestly you were already there talking about the array of 9, I think you just hadn't connected it to this occasion.

@zuthalsoraniz6764 2 жыл бұрын

Yep. Despite the fact that there are a lot more ways to arrange two 8s on an intermediate board than one double 8, the 24 free mines on 238 cells of the two individual 8s gives ~5.3*10^32 remaining mine patterns per two 8s pattern, while the 27 free mines on 241 cells of the double 8 gives ~ 4.2*10^35 random mine patterns per double 8 pattern.

@Kpsla 2 жыл бұрын

The 8-8 thing makes sense to me. To get two full 8's, you need 16 mines to be placed exactly right, but for one single 8-8, you only need 13 mines to be placed in the right pattern. Or, thinking about it more abstractly, once an 8 has already been placed, there are only 5 mines that need to be placed after that to make that 8 an 8-8.

@thepixlators9024 2 жыл бұрын

Welcome to the club, me and Mallomon also posted on this, but I'm pretty sure none of us actually knew of the others.

@red_rassmueller1716 Жыл бұрын

@@thepixlators9024 i actually wanted to see if anybody got that first... so i'm not in the club although i wanted to post that too XD

@doodeedah6409 Жыл бұрын

It’s more than that. Reducing 8 to 5 definitely improves its chance, but it’s really down to the limited number of available mines that makes it so likely to occur. The fewer mines available, the more likely the two 8s will have to share them. If you have few enough mines (e.g. 14) regardless of the board size, the chance becomes 100% because there’s simply no other way that two 8s can physically form on the board.

@Jivvi 7 ай бұрын

@@doodeedah6409with 14, you could still have them off by one, so they only share 2 mines. Also, does being aligned horizontally instead of vertically still count as being in an 8 shape?

@doodeedah6409 7 ай бұрын

@@Jivvi Oh whoops, I miscounted, I meant 13 mines, i.e. 3 mines forced to be shared. Btw the fine print at the bottom of the video says he counts both vertical and horizontal shapes.

@josephhanicak7922 2 жыл бұрын

I've actually had an 8 before. I was looking for it by setting the difficulty settings to max, with there being like 100 mines. Took like 20 straight minutes. Was so hyped when I found it.

@YoungTheFish 2 жыл бұрын

I rate this video a 9 out of 8.

@thiccnoodles6767 Жыл бұрын

I rate 27/26

@starlii10 Жыл бұрын

81/80 for me

@samuelthecamel Жыл бұрын

243/242 for me

@PhilippeAndelhofs Жыл бұрын

Still 9/8 is higher than 27/26 etc.. 😆

@had0j Жыл бұрын

729/728 for me

@ScowlingZebra29 Жыл бұрын

Minesweeper in VR is an absolute trip to go through, yes it's just 3d minesweeper but somehow it's immersive. I don't really say that but it's one of my favorite free VR games to use a way to pass time without having to move around to much. Kind of like putting a picture puzzle together, it's really interesting how it unfolds. I'd recommend checking it out if you're a fan of minesweeper itself.

@laytonspuzzle 2 жыл бұрын

Actually, 27 IS possible if you're willing to up your Minesweeper game to four dimensions. In 4D Minesweeper it's actually possible to get numbers as high as 80. But what about 81?

@R3DCODE 2 жыл бұрын

5D minesweeper with multiverse time travel

@jhawk2402 2 жыл бұрын

Actually, 81 IS possible if you're willing to up your Minesweeper game to five dimensions. In 5D Minesweeper it's actually possible to get numbers as high as 242. But what about 243?

@chandir7752 2 жыл бұрын

@@jhawk2402 well, just enter the 6th dimension. But what about 729?

@irrelevant_noob 2 жыл бұрын

@Bobbeguille but is your version of 4d minesweeper using TIME as its 4th dimension? :-B

@singadorito7802 Жыл бұрын

@@chandir7752 but what about 1024? or 16384... or huge numbers?

@kenthemaster 2 жыл бұрын

I liked that little tidbit about javelins resetting their records after some redesigning. I'm sure there are similar examples of other sports/games doing so, but it is quite refreshing to find these trivia in your vid!

@shades909 2 жыл бұрын

Yeah, the funny thing though is that I have seen that in a video I watched just a few days ago, and now I wonder if that's why I got this video in my recommendation lol

@nickbroeks6896 2 жыл бұрын

For those interested. The javelin was redesigned since it was easier to make the javelin heavier than make every stadium larger. Therefore it became impossible to throw as far as before and thus all the records had to be reset

@harrisonleon577 Жыл бұрын

@@nickbroeks6896 also, it was done because someone threw too far

@kennylex 2 жыл бұрын

Lamers, 2D and 3D is sooooo 2020, today 'retro' is cool and real players do Minesweeper in 1D.

@astrumleaf Жыл бұрын

I would actually love to code this

@nicholasiverson9784 2 жыл бұрын

The two 8s in an 8 configuration odds are actually fairly intuitive. Given an 8 on the board, there are two places (as long as it's not too close to an edge - and assuming you want them vertically orthogonally connected) where there are already 3 mines in a row. Requiring only 5 mines to be in specific places, to accomplish the goal of two 8s. Where a disconnected 8 on the same board as your 8 requires 8 specific mine placements. The reason it's only 1/3 as likely as finding a 2nd 8 floating in some unknown far off location is because there are significantly more than 2 places those 8 specific mines could be arranged than 2. But that only just over compensates for the 8th power vs. 5th power comparison.

@justingolden21 2 жыл бұрын

OOOOH because it's GIVEN that there's already an 8 and a limited number of mines and an additional 8 should be next to 8 mines

@thepixlators9024 2 жыл бұрын

Me, Kpsla, and Mallomon have all also posted on this without knowing of each other funny enough.

@Jwellsuhhuh Жыл бұрын

@@justingolden21 no, not given, but the chance is not as small as expected because you only need 5 mines to be in a specific location instead of a whole new group of 8 mines

@webrunner42 2 жыл бұрын

In Super Mario 64 speedruns whenever something occurs that would make two sets of records (such as 120 vs 70 star, then 16 star, then 1 star, then 0 star) they just split the leaderboards. Super Mario World also has two common Any%s: regular gameplay vs using the Arbitrary Code Execution glitch to jump to the credits from level 1. I think minesweeper could do the same.. have a 8x8 leaderboard and a 9x9 leaderboard.

@EebstertheGreat 2 жыл бұрын

Speedrunning beginner is sort of pointless imo. As the creator pointed out, you can beat beginner in a single click with 0 on the clock. These zeroes are simply not counted on the leaderboard, because otherwise the top of the leaderboard would just be full of them. So instead, you have to click at least twice. That means people who want to grind a good beginner time just keep refreshing the board and randomly clicking twice. Each time randomly clicking twice doesn't win, they refresh. They try to click as fast as possible, maybe using a mouse that double clicks if you push the button right (usually an undesirable behavior). For instance, the minesweeper online #1 time is 0.02 seconds, apparently accomplished by dragging the mouse along the top of the board. Splitting the 8x8 and 9x9 times wouldn't change that. Beginner is just silly.

@GamesComputersPlay 2 жыл бұрын

Interesting point. I actually agree about 2-click being mostly luck. What they did about it is they introduced Beginner 3BV category that limit minimal 3BV at 10. It helps somewhat, still they have a few disqualified attempts because "there was one lucky click". Which is now a bit weird. So what, lucky click? If at the shooting competition I shoot without looking and hit bull's eye, I still get the prize, right?

@EebstertheGreat 2 жыл бұрын

@@GamesComputersPlay Yeah, it also must be incredibly frustrating to try to grind. Every top time must be "lucky" to some extent, so it feels like if you get _too_ lucky, then it just doesn't count anymore. Imagine if whenever a golfer got two holes in one in a single round, that round got disqualified.

@andy02q 2 жыл бұрын

@@GamesComputersPlay What is the chance to beat a beginner board with a 3BV of at least 10 with only random clicks? If it's less than a million, then there's a real chance to piss off some pros. :D

@ViolentShrike Жыл бұрын

When I was a kid I used to change the settings of the game to use the biggest board with the fewest mines so I could basically “farm” one click wins. Sure it was cheating, but I barely even considered minesweeper a game and the most fun I could have with it was this way lol

@khunphraeokha 6 ай бұрын

good

@darkskyinwinter 2 жыл бұрын

I got really good at this at one point, and I used to play a larger board. I think 24x30 with ~165 mines. I remember the cutoff was pretty sharp, where most games under that number of mines were easily solvable with good initial guesses. More than that and I had to start making too many good guesses to win. I never ran probabilities though.

@EnterGaming 2 жыл бұрын

This is an amazing video! Looking forward to see you do more of these.

@abrahamarends9868 2 жыл бұрын

I’m so glad to see this vid come out! I played a game of minesweeper in 9th grade where the very first click was an 8. I felt like I won the most useless lottery ever lol

@Slush_ Жыл бұрын

In University I worked on a machine learning algorithm to play Minesweeper (with... mixed results, I was a rookie), and 1-click games became a serious problem. Turns out my board wasn't dense enough and they were more common than they should have been, it fed the algorithm a ton of bad habits because that click ended up with a massive reward score. That one eluded me for a while...

@henryginn7490 2 жыл бұрын

I love this kind of stuff. Finding out the answers to these "what if" questions purely for the sake of being curious and the programming pleasure

@superdupergrover9857 2 жыл бұрын

Hmm. I always assumed that Minesweeper solved the "first click problem" by choosing an appropriate board after the first click. It would keep randomly producing boards until a compatible one revealed itself.

@GamesComputersPlay 2 жыл бұрын

To be honest, I couldn't find any reliable info about latest minesweeper clones and how they handle it. But for old version - yes, they just move a mine. Also, I think they do create new board in "no guessing" mode in some implementations. (As just moving mine can create a guessing situation).

@atlekristiansen4975 2 жыл бұрын

I have wondered about this "What if the first click is a mine"-issue and how they solve it, when you're suppose to be safe that one time. There 's actually a Game Boy versjon of "Minecraft", which «solves» the whole problem by letting you actually get a bomb on your first click... kzfaq.info/get/bejne/fpOhgNyqvqiZm4E.html

@wormalism 2 жыл бұрын

The best way would be to shift the whole board down and to the right to the first safe spot, wrapping the bottom rows to the top and the rightmost columns to the left.

@valseedian 2 жыл бұрын

@@GamesComputersPlay almost every "no guess mode" version tells you which first click to make. they generate these boards by actually solving them and when a situation is reached that would be unsolvable it moves mines then to currently uncleared spaces that aren't associated with a cascade and continues solving. if it can't find a place in uncleared blocks, it puts it in any space that doesn't boarder any other mine. if a move was moved in this way it begins solving again from the beginning. seeds for these states with the starting square are pre generated and stored, often by brute force. my approach is slightly different. I run a solver that doesn't guess on my home computer and note seeds and starting clicks for any win. those are innately solvable too.

@guyinacage 2 жыл бұрын

I think the reason the 8 of 8s is so likely is because it shares 3 mines between the two 8s. The configuration requires only 13 mines and the remaining mines can be anywhere else, while having two separate 8s would require a whole 16 mines split into two groups. I think it is misleading to compare the chance of getting an 8 of 8s to the chance of getting two separate 8s. Instead, the 8 of 8s should be viewed as its own kind of shape, and the chance of it appearing can be compared to the chance of two regular 8s that are not joined. It would be interesting to calculate what the chance of finding two 8s that share any number of bomb tiles is compared to finding two disconnected 8s. I would bet that it'd be more likely than not that if there are two 8-tiles on the grid, that they share at least one bomb.

@GamesComputersPlay 2 жыл бұрын

hey, let me run that. I'll report back.

@GamesComputersPlay 2 жыл бұрын

ok, I ran a bigger simulations (220M), here's what I have: - just 2 eights: 122, 1/1.8M - 8s that touch each other at least in one spot: 88, 1/2.5M - 8 in a shape of 8: 71, 1/3.1M So: - Looks like my estimation of just having 2 eight maybe was a bit off in the video, it's looks to be more rare. However, it makes the "8 in the shape of 8" paradox even more prominent: difference between those are even smaller than 2 - You prediction that touching 8s are more common than non-touchin is quite true: almost 3/4 are touching each other. - estimation of 8 in the shape of eight still stands 3.1M and 3.2M - close enough.

@thepixlators9024 2 жыл бұрын

Everyone is posting on this lol

@ribbonsofnight Жыл бұрын

@@GamesComputersPlay I bet the probability of two 8s that are immediately adjacent but don't use one set of mines in common is more like 100 or 1000 times less likely than any 2 eights. That would still use 16 mines

@andrewsauer9669 Жыл бұрын

The reason double 8 is not that much more unlikely is because it requires less mines in the formation than two 8s by themselves, allowing more leeway for the rest of the mines.

@UofU10 2 жыл бұрын

Excellent video, I would love even brief slides showing your probability calculations but that’s just because I’m a math nerd. Love the content

@GamesComputersPlay 2 жыл бұрын

Thanks, man! There actually just some excel formulas, like this one (this is probability of 8 for expert): =(30-2)*(16-2)*(COMBIN(30*16-9,99-8))/COMBIN(30*16,99) Except I put board size, mines, and size and mines of the object in separate cells, to be able to re-use it for different things. It breaks for bigger numbers, but should work for everything in the video: 8, 9, 77, 8in8.

@WolfieNamira 2 жыл бұрын

These probabilities make me want to have all ~7 billion people on earth to play minesweeper once just to see what boards have these rare things lol

@kylegrefe4399 2 жыл бұрын

The double 8 thing makes sense, because it only has to have 13 mines in a set position, rather than 2 sets of 8 in set positions.

@thepixlators9024 2 жыл бұрын

Lol, everyone is posting on this

@thepixlators9024 2 жыл бұрын

The reason the probability of the two eights being close to each other is so high is because it's easier for 5 mines with one space in the middle to spawn close to the 8 than it is for an entirely different ring of 8s to spawn. In essence, they are simply both 5s sharing 3 mines, not two completely separate 8s. As to them being on top of each other, not necessarily. The same logic applies sideways, where they could form the shape of an infinity symbol. I hope this explanation makes sense.

@thepixlators9024 2 жыл бұрын

I will admit, Mallomon posted on this first, so credit where credit is due, however, I had no idea they had posted until just now.

@jackcoombs7125 2 жыл бұрын

I live for cool minesweeper content, thanks man! Also have a nice day to all fellow sweepers out there

@simonikonnikov2199 2 жыл бұрын

This just showed up in my recommendations and it is so nerdy that I’m more impressed than I ever thought I could be In a good way

@EthanCowlbeck 2 жыл бұрын

I mean, it makes sense. Having 2 8s anywhere on a board requires the correct permutation of 16 mines, where as when they’re bordering, you only need 13 correctly permuted mines

@noobandfriends2420 Жыл бұрын

It's funny when thinking about 4D minesweeper, it occurred to me that if you play two 3D games at the same time, alternating turns on each board, you can conceptualize that they're the same board taken at different times where the mines have moved. You can even play some Schrodinger's cat with the boards by only placing mines once you've progressed on the other board because those internal spaces aren't available until you clear deeper into it.

@wildalfred 2 жыл бұрын

I liked and subscribed because I REALLY enjoyed this Video.

@izziehayes4550 2 жыл бұрын

Sick, can’t wait to watch!

@mpeterll 2 жыл бұрын

I've never had a double-7, but I did once get a triple-6. I know that's not nearly as rare, but it was still a fun find.

@ribbonsofnight Жыл бұрын

I was thinking that's got to be more rare and then I realised 666 not 767.

@TraceyGaming45 Жыл бұрын

Ha ha ha I got a 7 5 5 5

@zuthalsoraniz6764 2 жыл бұрын

The correct way to calculate it would be a multi-step process. First step: Calculate the total number of different mine patterns, this is [number of squares] choose [number of mines], so 64 choose 10 or 151473214816 for the old beginner board. Next, calculate how many different ways your chosen pattern fits on the board. For the 8, that is 36 different ways - the 8's center square can lie on any of the 36 non-edge squares of the 8x8 board. Then, calculate how many different ways the non-pattern mines can be arranged for each of those ways - in the case of the 8, that is 55 choose 2 - two mines remaining, and we have used up 9 of the board squares for the 8, giving a result of 1485. Multiply the latter two numbers together, and divide by the first, to get in this case 36*1485/151473214816=3.53e-7 or about 1 in 2.83 million odds. This also shows why the 9/filled 8 is so much less likely in the beginner board: It only has one additional mine left, so there are in total only 1980 patterns that give you it, vs 53460 patterns that yield the normal 8. This also means that on the new 9x9 beginner board, the chance for an 8 is 49*2556/1878392407320=1 in ~15 million - yes, there are more than ten times as many total different mine patterns on the 9x9 board as there are on the 8x8 board!

@cogtheprotogen6671 Жыл бұрын

This video inspired me to try playing minesweeper, and I'm glad it did. It was very fun.

@dorithegreat6155 3 ай бұрын

The eights paradox completely makes sense to me. If you have two eights on your board it can involve up to 16 mines. However, having two eights next to each other only depends on 13 mines since some are shared between the two eights. So it should actually be more likely to get the two eights next to each other than not sharing any mines between them, purely because having to independently and randomly placing more mines in specific spots exponentially reduces the odds with every added mine. It also makes perfect sense that out of all possible arrangements of two eights the most likely one is them being adjacent, for exactly the same reasons

@SaItogaming202 2 жыл бұрын

i think that when you get an 8 they shouldve made it so its animated and looks like its on fire

@TatharNuar 2 жыл бұрын

12:22 I immediately guessed that the conditional probability was going to be very likely, considering that it would only need an additional 5 mines for the second 8, instead of 8 for fully-separate 8s. You could also have 8s that share one or two mines, and I would expect either of those probabilities to be greater than fully-separate 8s too.

@thepixlators9024 2 жыл бұрын

Everyone is posting on this lol

@Trupen 2 жыл бұрын

awesome video :D

@AlexanderBukh 2 жыл бұрын

you are also awesome!

@MonoCentennial Жыл бұрын

that 3d minesweeper is a real thing it is especially amazing if you can play it in vr and i personally find it very fun

@godlyvex5543 2 жыл бұрын

0-8, consecutively, all in a line. I was playing a minesweeper game that had a bunch of wacky items that did various things, and managed to slightly manipulate some mines to create 0-8.

@oskain 2 жыл бұрын

not possible

@naphackDT 2 жыл бұрын

@@oskain Of course it's possible. 1-2-3-4-5-6-7-8 Of course, 12345678 is not possible because the 7 and 8 touching means that the 8 can never be fully surrounded by mines. (the smallest consecutive line of numbers that are touching is 1-7)

@Michaelonyoutub 2 жыл бұрын

for 1-7 X X X X X X X 1 2 3 4 5 6 7 X X X X X where X is a mine, so it needs 12 mines You can actually also save a mine if you zig zag the line at 4 and 2

@oskain 2 жыл бұрын

@@naphackDT I was talking bout 12345678

@godlyvex5543 2 жыл бұрын

@@naphackDT I more meant 12345678, with it being possible to have a mine on a number spot. Obviously impossible if every number has to be visible. I posted an imgur link with what I did, but I guess youtube auto-deleted it? that's kinda annoying. I'll try posting it again. if you don't see another post with the link then just know that it was deleted for some reason.

@AmyraCarter 2 жыл бұрын

I've had many one-click wins; I just set the width and height to Expert and set the mines to ten! 🤣 (I also used to set the various sounds to something silly because reasons)

@GamesComputersPlay 2 жыл бұрын

1. This is childish 2. I did that too several times

@bruh.5620 2 жыл бұрын

@@GamesComputersPlay chill

@GamesComputersPlay 2 жыл бұрын

@@bruh.5620 cmon, I'm just kidding. Everybody did that, once discovered that you can set any number of bombs.

@bruh.5620 2 жыл бұрын

@@GamesComputersPlay oh ok

@SuperiorPosterior 2 жыл бұрын

Well I just won my first sub-30 seconds game of Minesweeper on a 9x9 after watching this video! I used to think it was more nerve-wracking than fun, because it'd take me like 2 minutes to get close to winning, and I'd almost always lose. Thanks for the probability talk!

@olegmoki Жыл бұрын

Now i wonder, what's your record at this moment?

@theunknown4834 2 жыл бұрын

This minesweeper is different from the original one. 0/10 lies were spouted out all jokes aside, wow, this is the sequel I needed

@maxmyzer9172 2 жыл бұрын

i got a 9 once.. yes in 2d. also 4d minesweeper is fun disclaimer: the time i got 9 was when i did changed an open source minesweeper to include it

@endofpixel3712 2 жыл бұрын

12:25 it actually makes sense since youre only looking at five additional mines as oppossed to 8 entirely seperate ones. I honestly thought that it would be slightly more likely then not but 1 outta 3 aint bad

@GamesComputersPlay 2 жыл бұрын

More careful simulation showed that it is closer to 1 out of 2. I agree, it makes sense to me now, I did get used to it. But my first reaction was pure disbelieve.

@thepixlators9024 2 жыл бұрын

Lol, everyone is posting on this

@gregwhite6998 Жыл бұрын

Great stuff! Really enjoyed the video! The probability of two "8's" in the shape of an 8 did surprise me. Video format seems really close to @TwoMinutePapers

@egwenealvereiscool7726 Жыл бұрын

12:45 Its because getting 2 8s next to each other uses less than 2x the number of mines; The total number of mines is not sixteen, but eight (from the first) plus five (eight from the second minus the overpap), so thirteen. This increases the probability a lot. This approximately cancels out with the chance that the two formations (one with eight and one with five mines, and each having one blank) appear right next to each other.

@BrenoKretzer 2 жыл бұрын

How to have a 100% chance of getting an 8 1. Set the board size 3x3 2. Click on the middle and there you go

@Pilgrimman007 2 жыл бұрын

What is the hardest possible board? By hardest I mean "requires the most forced guesses"?

@doodeedah6409 Жыл бұрын

I think it makes sense that the chance of getting two 8s next to each other is relatively likely compared to getting two 8s anywhere. It’s because there are only a limited number of mines on the board - the fewer there are the more likely the two 8s will have to share mines. In fact, if you have few enough mines (e.g. 14) on any board size, the chance of the two 8s to be next to each other is 100%, i.e. they can’t physically form anywhere else.

@MrConverse 2 жыл бұрын

Excellent video!

@kiraa96 2 жыл бұрын

Hey, I made it in this video! 4:40 :D

@AlexanderBukh 2 жыл бұрын

wow

@randomperson5579 2 жыл бұрын

Someone needs to make 5d minesweeper with multiverse time travel, just 5d minesweeper you could get a 242 tile, but with the added multiverse time travel, well that number would probably skyrocket.

@jazzabighits4473 2 жыл бұрын

Great video, thanks :D

@SilverGoldYT 2 жыл бұрын

this is about to pop off, im calling it

@hoppygrob3590 2 жыл бұрын

There is no 9 because seven ate nine

@GamesComputersPlay 2 жыл бұрын

That's the kind of joke I should have thought of. Alright, here I go: But why did it ate nine? Because it needed three square meals a day!

@Notester82 2 жыл бұрын

Cool and interesting video!

@rgvozdikov Жыл бұрын

Сразу слышно земляка) спасибо за офигенный видос, мало такого годного контента по сапёру

@user-bh6si6uo3w Жыл бұрын

Тоже услышал русский акцент

@suzumes6738 Жыл бұрын

"Prepare for the answer" is my new favorite way to disclose info-hazards

@Akronox Жыл бұрын

The 2 8-shape form being more common can be intuitively deduced: some of the mines are already there so there is a higher chance that the 2nd 8 will use some mines of the first one. There is also a fixed amount of mines so the first 8 can always be a "spawn" point for the 2nd one contrary to randomly scattered mines.

@sanderbos4243 2 жыл бұрын

Haha, that outro was legendary!

@bledlbledlbledl 2 жыл бұрын

7:54 although, I have seen some unofficial implementations (they were meant for demonstrating the abilities of various programming languages, if memory serves) that were missing this feature, so if you remember clicking a mine on the first click, this might be the reason why

@ProfessorThock 2 жыл бұрын

Me: watches 16 minute video about minesweeper probability Video: calls me a nerd Me: fine, I’ll subscribe.

@rishitpant Жыл бұрын

3D one it so cool! Gotta try my hands on it.

@tarpguy_ Жыл бұрын

Love that drawn background

@davidhopkins6946 2 ай бұрын

There have been 2 occasions where I got an 8 in expert mode. The first time, I unluckily hit a mine before I got to the part of the board with the 8. The second time, I solved the whole board, but the game unexpectedly quit a fraction of a second later. I also had one instance of 2 sevens with no shared mines in expert mode (i.e. a total of 14 mines around the sevens). They were by no means near each other on that board. I have never had an 8 in intermediate, but have had 7 in intermediate three times.

@IIGrayfoxII 2 жыл бұрын

3D minesweeper is what a vulcan child would play

@dancoroian1 Жыл бұрын

It's because the 2 8s together only require 13 mines (in a certain arrangement) to create, whereas 2 separate 8s need 16 mines in a certain configuration. Basically when you already have one 8, you just need to get lucky with the placement of a "5" to get the figure-8/infinity shape, rather than having 2 incredibly unlikely 8s occur independent of each other

@pleaseenteraname1215 2 жыл бұрын

4d chess ❌ 4d minesweeper✅

@AranMiller 2 жыл бұрын

16:05 EASILY one of the best endings of a KZfaq video I have ever seen!

@Rafaelinux Жыл бұрын

Thanks for your rating

@VinRocks Жыл бұрын

People: "talk about 9!" GCP: "nein"

@ThymeLost 2 жыл бұрын

I used to get a mine on the first click back when I played.

@GamesComputersPlay 2 жыл бұрын

I guess it wasn't Windows minesweeper?

@ThymeLost 2 жыл бұрын

@@GamesComputersPlay I was the windows that came with windows 98 I think. I didn't play none windows minesweeper. Sometimes I'd start in the corners and the first click would be a mine. Sometimes it would happen in the middle of the field. It might have been windows95.

@jackthehacker05 2 жыл бұрын

I got a 6 a couple weeks back and was shocked, but an 8? Now THAT is rare.

@thorin1045 2 жыл бұрын

the reason for the eight in shape of eight is barely less likely than two separate eight is comes from the used number of mines. two eight need 16 mines to be placed in a right positions, yes, you can move them around on the board, so you have a bit more chance, but the eight shaped eight need only 5 more mines than a single eight or 13 mines to be placed in the right spot, so you save 3 mines to be in random spot for a more constricted placement for the other 13.

@SigmaNeo426 Жыл бұрын

I remember playing minesweeper with my friend in 3rd grade. I press the middle, and win. i felt soo cool back then

@PhriekshoTV 2 ай бұрын

I didn't care much about Minesweeper until I played Demoncrawl. It's a minesweeper roguelite and it became one of my favorite games of all time

@laurynastruskauskas6586 Жыл бұрын

Lol, i once got a circle of mines and i was so happy that i got an 8 which up to that point i thought was somehow prevented from happening. So i pressed it and there was a mine there, it really pissed me off, but now i know that it was even rarer and i got a screenshot of it so yayy i guess.

@silverheart302 Жыл бұрын

I would guess the 8s spawn in an 8 pattern because that setup utilizes less mines than having two separate mine circles, so it's more likely to occur with the amount of mines placed on an expert board

@HPD1171 Жыл бұрын

the two 8 being more likely then you thought makes sense given that the second 8 only needs 5 additional mines to be arranged exactly instead of an additional 8 if it were to exist somewhere else on the board

@nienke7713 Жыл бұрын

the 2 8's in an 8 configuration has the advantage of already sharing 3 of the mines amongst one another, so it only takes 13 mines to make it, whereas two seperate 8's takes 16 mines. I suspect that helps with it being relatively common within the cases that have 2 8's.

@prich0382 2 жыл бұрын

I still find Minesweeper is pure rng if you can win, using all the known tricks, usually at the end it comes down to a 50/50 pick or a 1/3. So stupid, I've only ever finished 2 games and gotten to like 90% every other time

@valseedian 2 жыл бұрын

with proper solving technique and a little math practically any 1/3 chance layout can be reduced to a 50:50. I think I've seen exactly 1 true 33%:33%:33% setup and it involved a corner and a few random guesses to reach.

@prich0382 2 жыл бұрын

@@valseedian Still not good enough, it's so BS seeing those fast game sequences where people solve each game 1 by 1 with no mistakes. You just can't be that lucky

@petersmythe6462 Жыл бұрын

Would be interesting to have a multiplayer minesweeper kinda like battleship. Each side places their mines and then takes turns clicking each other's board.

@GamesComputersPlay Жыл бұрын

The winning strategy would be to place as many 50/50 as possible. Unless it were against the rules and only "no guessing" mines were allowed.

@jamcdonald120 2 жыл бұрын

12:55 it happens because to get 2 disjoint 8s you need 16 bombs, but for a double 8 in the shape of an 8, you only need 13 bombs

@subaction Жыл бұрын

Nothing gets engagement like giving the audience an opportunity to "teach the expert" and that is why literally half the comments on this video are about the obvious, intuitive reason that double 8's are relatively common

@orang1921 Жыл бұрын

That 3d Minesweeper is crazy

@GamesComputersPlay Жыл бұрын

Indeed, but if you think that was crazy, stay tuned for the upcoming video (maybe in couple of weeks), as I will be "adding the whole new dimension" to that.

@orang1921 Жыл бұрын

@@GamesComputersPlay Oh, God. And just as I started getting a smidgeon used to the 3d version. Just have to triple the variables!

@StefanVeenstra Жыл бұрын

When you find 8 mines encircling one undiscovered square and you feel like a legend for it should be the rare, shiny 8, only for it to be the 9th mine.

@jayvw9597 Жыл бұрын

I got an 8 once on google minesweeper in class. Took a screenshot but then my computer got wiped and I couldn't save it. Was quite upsetting now that nobody believes me.

@krystofkarda7395 Жыл бұрын

I Once got two 8-8 next to each other And i was JUST "wow thats neat" And continued

@SuperChavon 6 ай бұрын

13:48 "no no no no no~" lmao i love how you said that

@LibertyMonk 2 жыл бұрын

8 shaped double 8 being 1 in 3 among double 8 boards makes a lot of sense to me. To have a double 8, you need two specific shapes. To have both 8s adjacent, you have a bigger single shape required, but it uses less mines and less total tiles, since the two 8s share a row of mines. I feel really sad for any ♾️ shaped double 8s though, for being soooo close but not close enough.

@Sonlirain Жыл бұрын

9 would probably be also possible in a non euclidean minesweeper. But good luck comprehending that mess.

@kennywilliams669 2 жыл бұрын

Alright, I don't usually like reply to KZfaq videos much, but I just had an incredible occurance I'd like to share. I am partially dozing off, listening to this dude speak, and he was talking about how they changed it from 8x8 to 9x9. And for some God dang reason I was thinking of a video I watched a few weeks ago about how they changed the javelin because it was beginning to become too easy to throw real far...low and behold...he mentions javelins

@qb616 2 жыл бұрын

At 8:28 your adjust for 1st click will have more than one value, if the first click is at the corner of the board there is only 1 possible 8 that you ruin, however if you click in the middle that same click could destroy an 8 in 8 different positions

@GamesComputersPlay 2 жыл бұрын

Hm, I don't follow. Here's my logic: For every eight you have, you have 8/64 = 1/8 chance of destroying it with your first click. Doesn't matter where 8 is - it's still going to be 1/8. So multiply the probability by 7/8 to get the corrected result. Am I missing something?

@yeeterdeleter0117 2 күн бұрын

One time I randomly clicked and found an 8

@User_K653 Жыл бұрын

You got 8 in Minesweeper? Well done. Now try to get 26 in 3D Minesweeper

@theveryloosegoose Жыл бұрын

When watching the "What about 9" segment, I had an epiphany that is obvious but also fun: In a Minesweeper board with n dimensions, every cell has (3^n)-1 neighbors, therefore, every cell can only have (3^n)-1 mines around it. Math is fun