A Secret Weapon for Predicting Outcomes: The Binomial Distribution
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Күн бұрынSupport these videos on Patreon: / primerlearning
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0:00 - Introduction
0:41 - Calculating by hand for small numbers
5:54 - Independent events
6:50 - Building Pascal's triangle
9:03 - Binomial coefficient formula
13:27 - Empirical test
Some 0! videos:
• Zero factorial or 0! | Probability an...
• Zero Factorial - Numberphile
• Why is 0! = 1?
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@trees9363 11 ай бұрын
I was unreasonably happy to see that the blob finally made a shot at the end
@PrimerBlobs 11 ай бұрын
:)
@EEEEEEEE 11 ай бұрын
E
@airmanon7213 11 ай бұрын
Same! :)
@person8064 11 ай бұрын
:]
@Kathen 11 ай бұрын
:3
@Absolutemenace_ 11 ай бұрын
This is literally our math subject rn. Thanks man.
@NoTNoL 11 ай бұрын
Same
@PrimerBlobs 11 ай бұрын
This one's for you
@Absolutemenace_ 11 ай бұрын
@@PrimerBlobs 🙏
@duythuchoang5095 11 ай бұрын
@@PrimerBlobslmao thanks, I actually learned the stuff in the video in January and it's so nice when I look at the formulas and understand them
@EEEEEEEE 11 ай бұрын
E
@xamwright 11 ай бұрын
The return of the king
@williamdaniel2519 11 ай бұрын
Yeah
@rytroniscool 11 ай бұрын
Biggest W of June so far
@EEEEEEEE 11 ай бұрын
E
@volodyadykun6490 11 ай бұрын
Every his video is return?
@lety18chula 11 ай бұрын
This has no reason to be as good as it is, thank you, I finally get it
@angelus8521 11 ай бұрын
Primer is the only educational KZfaqr I watch cause he makes it fun
@spmagic9083 11 ай бұрын
I'd recommend a few: 1. 3Blue1Brown has similar math visualizations over a number of math topics. 2. Kurgesagt has really interesting animations over many topics, including science, climate change, space, and aliens. 3. Veritasium shows sciencey things in cool ways. 4. TedEd has short animations on a variety of topics, like science, mythology, fiction, history, and social studies. 5. MinuteEarth has fun, short animations about the Earth, nature, and related science topics. 6. MinutePhysics has short animations about physics. This is by no means an exhaustive list, but I watch these channels more than others. For shorter videos, try starting with TedEd, MinuteEarth, and MinutePhysics. The other channels have slightly longer, more in-depth videos.
@infinitum-repertorium 11 ай бұрын
@@spmagic9083thanks, i was about to write the same. It's so cool that this form of education connects us all even though we don't know each other.
@Ennar 11 ай бұрын
What do you mean he makes it fun? Mathematics is fun. What he does is very clean visuals and is quite good at it. That's why I watch, even though I learned all of this many years ago.
@EEEEEEEE 11 ай бұрын
E
@suicidebxmber1234 11 ай бұрын
Not only does he EXPLAIN with absolute eloquence and clarity, but the care he puts into the animations is remarkable.
@dragonfriend9364 11 ай бұрын
I personally miss the evolution/economic vids. I'll still watch these, but those are what brought me to the channel.
@PrimerBlobs 11 ай бұрын
Me too, me too. There's an econ one cooking currently.
@piggydabest 11 ай бұрын
let the man cook
@jaideepshekhar4621 11 ай бұрын
Same! :(
@dragonfriend9364 11 ай бұрын
@@PrimerBlobs thanks, I'm looking forward to it.
@CrittingOut 11 ай бұрын
@@PrimerBlobs good to hear
@Silliestgooberz 11 ай бұрын
No matter the subject, I’ll watch these all the way through, even if I won’t learn it for years.
@EEEEEEEE 11 ай бұрын
E
@joshavery 11 ай бұрын
You're learning by watching! No need to wait for a formal class.
@Patrick-Hartford 10 ай бұрын
same
@alexanderwolf7514 11 ай бұрын
By now I've done 4 semesters of statistics classes but none of my professors was able to explain this concept as easily understandable as this video.
@patrickwienhoft7987 11 ай бұрын
For binomials and the choose function there are really nice ways to build intuition, experiments to derive rules like in this video. However, in combinatorics you often care about slightly more complex things, where you have more classes than yes/no and dependencies between objects. For example, for a given graph, how many ways are there to label the nodes such that the graphs are isomorphic? When I learned this and taught it to other students I always had the feeling that this was one of the things for which you need a good understanding of the problem to solve it as there is no go-to formula or procedure to solve those. The only way that seemed to work is to solve different instances over until it clicks tl;dr: I found teaching combinatorics really hard.
@anthonynorman7545 10 ай бұрын
@@ensiehsafary7633also, the time/resources are no where equal to what a professor has.
@47Mortuus 10 ай бұрын
Because you're expected to explain it to yourself, using different sources. THAT IS THE VERY ESSENCE OF UNIVERSITY
@anthonynorman7545 10 ай бұрын
@@47Mortuus that's not how math classes tend to go. It's not like it was a research paper topic.
@47Mortuus 10 ай бұрын
@@anthonynorman7545 stay ignorant :)
@RickachuCXVI 11 ай бұрын
I just love the presentation and explanations in these videos so much, it makes the entire lesson so much more engaging
@EEEEEEEE 11 ай бұрын
E
@junebug5180 4 ай бұрын
@@EEEEEEEE E
@jamiedytham5276 11 ай бұрын
The only educational channel I'll watch when I already understand the subject
@EEEEEEEE 11 ай бұрын
E
@intercakefederation 11 ай бұрын
@@EEEEEEEEF
@Emmet0223 11 ай бұрын
Same. Learned this beginning of last year but it is so much more engaging
@BambinaSaldana 9 ай бұрын
@@EEEEEEEE F
@_________________404 6 ай бұрын
41%
@Lionbug 11 ай бұрын
The encouragements to pause and think through things are _vital_ to get people to actually _understand_ and not just watch the video and forget immediately. Very well done all around!
@huhneat1076 11 ай бұрын
Can black blob with sunglasses become a recurring character? I think his character arc involving missing all the shots was very interesting
@ChrisPhelior 11 ай бұрын
Chance of your team's Yasuo actually being good: infinitesimal Great video as always
@doomse150 11 ай бұрын
That LoL reference came completely out of nowhere.
@xavierburval4128 11 ай бұрын
Yeah I was way too surprised by that lol
@TheAlexN1305 11 ай бұрын
Yeah, Yasuo teammate is the last blob in the video.
@doomse150 11 ай бұрын
@@TheAlexN1305 Nah, don't be mean to the blob
@jiyuandong8964 11 ай бұрын
i clicked on this video from the recommended sidebar while watching a league video so this actually was extremely fitting hahaha
@navetal 11 ай бұрын
4:28 I love the enthusiasm of the blob on the left who keeps on trying to score.
@EEEEEEEE 11 ай бұрын
E
@littlevirus3562 11 ай бұрын
@@EEEEEEEE mate, a E has escaped your cage
@ASocialistTransGirl 11 ай бұрын
@@EEEEEEEE bro is spamming E on all videos
@trimonmusic 11 ай бұрын
I hadn't noticed this, thanks!
@UserStillLoading 11 ай бұрын
its a good *year* when Primer uploads
@PrimerBlobs 11 ай бұрын
hey
@APaleDot 11 ай бұрын
This isn't over-explained at all. This is the kind of explanation I've been looking for for so long!
@frootjupes 11 ай бұрын
I wish I'd had this when covering counting problems! Your explanations and visuals are so much easier to comprehend than the lectures I read.
@justinlindfors8512 11 ай бұрын
He should be the next channel to be featured in schools!
@Zmit 11 ай бұрын
Oh how I have missed the blobs engaging in simulations. So nice to see a new video. As always a pure delight to be able to learn and be entertained at the same time. All education should be this way.
@Bambutcher2 11 ай бұрын
I'm so glad you did this video cos just the other day I was cracking my head on a similar problem and couldn't make out how binomial coefficient work on my own, thanks a lot for making it crystal clear. Great job, as always!
@pnku 11 ай бұрын
"your team's yasuo actually being good" is a reference i didn't expect at all, love your videos, was super excited to see this video in my sub box
@ImThylacine 11 ай бұрын
This is a wonderfully succinct and comprehensive explanation of this topic that actually covers the reasons *why* the formula was constructed the way that is, not just how to use it. My math-teacher mom and I approve. I love the rest of your bio, econ, and math stuff, too. Here’s hoping the algorithm feeds this to more people!
@SL-ef8jv 11 ай бұрын
Just learned this in class, and you helped me understand this so much better. Thank you so much!
@strawberry942 11 ай бұрын
This is great timing! I have my maths A level mock in a few weeks, and I'm not the biggest fan of stats, so this is really useful for brushing up on it.
@nataliabasile752 11 ай бұрын
I can not believe it. I love your videos so much. I actually discovered your channel this morning. When I entered it and saw your last video was from ten months ago I thought you wouldn't be doing more videos. So the fact that on the same day I found you, you put a video makes me so happy. Keep it up, the blobs are the best
@marcboss 11 ай бұрын
I have been waiting for more videos, thanks for posting!
@matchanik 11 ай бұрын
No puedo explicar cuanto hubiera querido tener este tipo de explicación en la época de estudiante. Excelente!
@kelkin2576 11 ай бұрын
15:12 I cheered so loud congrats buddy you did it
@viliuskripas4425 11 ай бұрын
I love these blobs! And the topics in your videos are covered in such an easy-to-follow fashion. Thank you so much for making them!
@feyblack2197 11 ай бұрын
So glad you brought this equation back to talk about. One of my favorite videos you've done is the coin flip one and I like using the binomial distribution formula when I can, but always forget what the values would stand for and I'd have to go to the linked video to remind myself. This will be much easier to find and sit through.
@_chishika_ 11 ай бұрын
one day in the future, this is gonna be played in a classroom for a maths class, and your gonna make a lot of people laugh and understand this a much better and get their foot into the doors of stats and further stats. amazing vid
@Misstborn 11 ай бұрын
As someone who just took stat, this was a really nice reminder of the logic behind everything and made me actually think about math for the first time in a few weeks. Fantastic video!
@_________________404 6 ай бұрын
41%
@Meymoi 11 ай бұрын
Oh wow I was just looking at your channel and wondering when you would post next, I'm glad to be able to watch a new video of yours, they're always great!
@jeremyelser8957 11 ай бұрын
Such impressive visualizations. The little extra efforts like making the numbers move or blink to guide the eye are very helpful.
@batmanthedarkestknight 11 ай бұрын
You can’t imagine how happy I was to see you coming back! Your videos are so good! Keep going! ❤
@bassoonatic777 11 ай бұрын
This is quite good. If I still taught Prob and Stats, I'd share this in my class.
@loopeater8338 11 ай бұрын
How did you reply to this 1 day ago???
@thekeyboardwarrior1018 11 ай бұрын
Hold up how did this comment become 1 day old but the video isn't an hour old
@FriesOnYt 11 ай бұрын
wtf how did you comment one day ago the video was made 38 seconds ago
@AceFaz 11 ай бұрын
@@loopeater8338 Video was unlisted before releasing, and they had the link to view it.
@AceFaz 11 ай бұрын
@Don't Read My Profile Picture wasn't planning on it
@user-db4lk7yg3o 11 ай бұрын
I recently finished alg 2 and we learned this but skipped over most of the explanation and went right to the combinations and permutations, it's nice to learn more about what makes these formulas work.
@bogdanbusui5249 11 ай бұрын
On Friday I just had my Uni Probability exam and part of what we learned is exactly this. Awesome video and explanations, as always actually!!
@VexWythe 11 ай бұрын
my immediate thought when watching this, given the free-throw example from basketball, is calculating the odds of any given baseball pitcher throwing a perfect game (a game where not a single opposing batter gets on base over all nine innings) based on their WHIP statistic (walks and hits per inning pitched)! very cool video, as always :)
@christinemeili2398 11 ай бұрын
I’ll keep this in my pocket for when I have my statistics class this autumn
@richardcampbell4506 11 ай бұрын
Easily the best description of Binomial distributions and, most importantly, the fundamentals that support it. Fantastic! I’ll be sharing it with my son. thank you 👍
@ethanpetersen810 7 ай бұрын
The blobs are adorable! Definitely going to ask for a plush or two this Christmas And seeing that this channel doesn’t overload one with videos, I subscribed pretty dang fast.
@HarryHughAndYou 11 ай бұрын
I love your videos, every time you release one it’s like everything else freezes and I half to watch your video. Keep up the good work
@thekeyboardwarrior1018 11 ай бұрын
I'm abot
@stanlee268 11 ай бұрын
Love your videos.Keep up the good work.
@PrimerBlobs 11 ай бұрын
I will try. >_
@karansmittal 11 ай бұрын
It was amazing to watch the whole content. super high quality, kudos to the amazing team and hard work behind it
@vkn3682 11 ай бұрын
Exactly the explanation I was looking for! Great video!
@DuchessEvie 3 ай бұрын
The blob at the end is just footage of me trying to play basketball
@RudyOMP 11 ай бұрын
I wish this video came out like 5 years ago when I had to learn this
@PrometheusMMIV 11 ай бұрын
I love these videos. You have a great way of explaining things in a very intuitive way. I especially liked the demonstrations for calculating the binomial coefficient. Showing that the Nth blob added to the list can be inserted in N different positions really helps solidify why ordering is calculated using factorials*. And then using that to remove the duplicates from each group made a lot more sense than just trying to memorize the formula. * The way I usually think about ordering is if I have N items, then the first one in the list could be any of the N items, then the second could be any of the remaining N-1 items, then N-2, and so on until the last one.
@flipgalaxy711 11 ай бұрын
Perfect timing for my A-level Stats paper in two days time!!!
@KevinTan 11 ай бұрын
*"You miss all the shots you don't take"* - Michael Scott, The Office
@MaxCubing11 11 ай бұрын
If Primer uploads a video, you know it's a good day
@molybd3num823 11 ай бұрын
primer
@MaxCubing11 11 ай бұрын
@@molybd3num823 sorry, autocorrector
@midnight4685 11 ай бұрын
Thanks! This was something I studied earlier in the year, was really interesting to see it explained again, and quite well too.
@erinkarp 11 ай бұрын
Always glad to see another Primer vid!
@blacky____05 11 ай бұрын
This isn't overexplained, this is the explanation I wish I'd gotten in school. Thx 👌
@LordHakkera 11 ай бұрын
Absolutely love your content. Almost yelled out "BLOB GUY HAS A NEW VIDEO" when I saw this in my feed earlier. I can only assume how much effort goes into these videos, but I sincerely hope you'll keep making them - they are truly awesome.
@giuseppebuonomo7241 5 ай бұрын
Beautifully explaine dand visualized. I love how in detail everything is explained. Thanks!
@TheWizardsOfOz 11 ай бұрын
I love these videos you make, they are instructive with a fun way to learn.
@puffer2939 11 ай бұрын
Whenever Primer uploads. It’s a good day.
@saram3604 11 ай бұрын
Keep up the good work!
@PrimerBlobs 11 ай бұрын
Thanks, Sara!
@DavidMarketh 11 ай бұрын
OMG it’s Primer
@navalshah5999 11 ай бұрын
This is so amazing! The graphics are super well done too. Thank you Primer!
@beb6c2a 11 ай бұрын
A statistics video from Primer right as I am about to start my Stats this semester and I love it!
@MrProfessorFelipe 11 ай бұрын
A única coisa ruim desse canal é que ele deveria postar vídeos todos os dias. MUITO BOM!
@ilikeplanes5292 11 ай бұрын
I litteraly just learnt this exact thing for the first time in my maths lesson yesterday!! What are the chances!?
@PrimerBlobs 11 ай бұрын
100%
@ilikeplanes5292 11 ай бұрын
@@PrimerBlobs Did you use the formula to get to that conclusion 😅
@25thEffect 11 ай бұрын
these videos really cement in the fact that i prefer statistics/combinatorics to things like calculus. i struggle to pay attention to and care about what goes on in my calculus classes, but i willingly watch, stay engaged with, and seek out more content focusing on this sort of stuff. thanks for reminding me that not all math is nightmarish 😉
@samjam1992feb 8 ай бұрын
Very Few Times I have seen someone explaining such concepts with such clarity.Thanks, A lot
@randy3222 11 ай бұрын
My teams yasuo being good is always 0%
@thekeyboardwarrior1018 11 ай бұрын
I'm a bot
@AzizbekSheripboev 11 ай бұрын
The last line really hit me and made me subscribe. Love your videos. Keep going!
@superson5586 11 ай бұрын
I really enjoy the style that you present in and would love to see more videos. I love getting your notifications.
@MattTrevett 4 ай бұрын
It really makes sense now why you subtract in the parentheses before the factorial. Thanks for the video!
@victor_lu 4 ай бұрын
Thank you for that great video, your videos always make me understand those topics deeper.
@MaskedDeath_ 11 ай бұрын
I've had combinatorics in high school, and we did "learn" the formula there - as in, "this is the formula, you need to remember it because it works". Thanks to this video, I've finally understood where the formula comes from. Thanks!
@jrodartec 11 ай бұрын
I always watch primer, regardless of the subject, because if I do not know it its a great opportunity to learn it, and if I already know it its still a great opportunity to learn about communication and didactics. I always end the video feeling smarter and that keeps me engaged. Thank you very much for the effort in making these as easy-to-understand as possible!
@ajtroyer76 11 ай бұрын
Beautiful! Oh this is perfect! I tutor genetics and have some students that struggle with statistics, and I am going to tuck this into my tool box! Thanks for making the math pretty, well chewed, and easy to digest. I've already used some of your other videos with positive feedback, I just hope the next wait for a new one isn't as long as the last.
@pimderijke4560 11 ай бұрын
You make this so understandable and clear! Keep up the good work man
@timnauwelaers6876 10 ай бұрын
This video is such an amazing tool to understand the subject. The visuals are just perfect to support the theoratical part❤ Yet again amazing job!!
@atlas4733 11 ай бұрын
Literally did my final math exam (12th grade) today and I did revision for analytical combinatorics covering this exact subject! I'm surprised how well I understood this video. There were a few aha moments where a couple things at a time slotted into place :)
@sajinth2006 11 ай бұрын
Thank you for this, I always struggled with binomial distribution but this video makes it very easy to understand
@hellopeoples8 11 ай бұрын
I do a lot of statistics for work, and I still watched this video because a) always great to review the fundamentals and b) your videos are just that good.
@Eggmanlover 10 ай бұрын
holy moley I never learned about this in school, but I've occasionally been interested in calculating probabilities for certain things, and my eyes glazed over when I looked up binomial distribution, but seeing it here, it's gotten a LOT easier to understand... nice video!
@marcomonti5758 10 ай бұрын
Fantastic video! The quality has really gone up recently!
@matthijsperabo7282 10 ай бұрын
Just had a test about this last week, awesome video, would have loved to see it back then.
@antwidavid389 10 ай бұрын
I absolutely loved this! You should do one on geometric distribution and normal distribution!!
@ormapa1206 11 ай бұрын
He came back!!! 🎉🎉🎉 I really enjoy this videos.
@petermoras6893 11 ай бұрын
One of the things i think should always be brought up when mentioning Pascal's triangle, is that you can describe it by multiplying odds as if it was a polynomial. For example: Lets say you had that you could either make a shot or miss it. This could be described as (X + Y), where X is a missed shot, Y is a made shot. If you make 2 shots, it would look like (X + Y)^2 = 1X^2 + 2XY + 1Y^2. This holds with n shots, or (X + Y)^n. You may also notice that the expanded polynomial is also pascal's triangle, which is how we can easily calculate the triangle in the first place. This also works with more than 2 distinct outcomes, like (A + B + C +D)^n.
@laughsingay 11 ай бұрын
Yay! Finally another post! I love your videos, they're educational but in a way that entirely makes sense and is also fun to watch because of the animations. :)
@B0NES48 11 ай бұрын
It’s always a great day for a Primer video!!!
@Thiago100Zwetsch 11 ай бұрын
I was really missing these videos!!
@ruzgar1372 13 күн бұрын
I would have had less trouble with combinations and probabilities in highschool if this video existed back then. Very nice and intuitive explanation.
@Skeffles 9 ай бұрын
Great video. Really well explained!
@Ma-pz5kl 5 ай бұрын
so great. and the blobs made it fun to learn. well done sir !
@kalkhasse 11 ай бұрын
This was exactly the right amount of overexplanation! Thank you!
@lycanlycan1802 11 ай бұрын
It’s a good year when primer upload ❤
@brightsideofmaths 11 ай бұрын
Thanks for that! I am huge fan of your videos and the binomial distribution :)
@Matheusramoss17 5 ай бұрын
what a amazing video, the best class I've ever watched about binomial distribution along with this clear and well-done animation transformed this simple 15min video into a masterpiece, congrats 👏🏼👏🏼👏🏼
@AceFaz 11 ай бұрын
I'm so glad you're back!!
@s4m4chka 11 ай бұрын
Such a great video! Keep up the amazing content!
@no-handle-for-you-youtube 11 ай бұрын
Just discovered this channel, very fun and entertaining, love your videos.
@alejandropinedo9480 11 ай бұрын
This will be so helpful for my Ap stats class!
@vighneshraman1784 11 ай бұрын
So glad to see your video after sooooo long
@jsalsman 11 ай бұрын
Astonishingly beautiful 3-D diagrams, as usual!
@streambotnt2095 11 ай бұрын
I am supposed to learn this for school and my teacher unfortunately isn't the best when it comes to explaining, so it is very nice to have you make a video on this topic.
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