How do you solve conditional probability examples?

Рет қаралды 7,270

Жыл бұрын

How do you solve conditional probability examples?
What is the probability of an event A given that event B has occurred?
This is conditional probability, solved by the formula that P(A|B) which reads "probability of A given B" is equal to the P(A intersect B)/P(B).
Three examples are examined.
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Conditional Probability Formula: P(A|B) = P(A and B)/P(B)

Пікірлер: 20

@kennethhowell5291 Жыл бұрын

I have an IQ of 1. But because of your ability to teach anyone Bayes theorem it is starting to make sense. You are the best. Thank you!

@amanda-clairebennett6132 Жыл бұрын

Thank you, it was very helpful, really appreciate it. Your content is great. From Perth WA.

@NK-mn6zu Жыл бұрын

Maths teacher from Blighty here! 👋🏽 My students prefer the Venn diagram method. 😊

@Fret-knot Жыл бұрын

Beer, whisky, wine, rum.... In fact, the lot. 100% probability of being drunk, at least twice a week.

@jenniferleason1322 Жыл бұрын

Very interesting!

@user-pc7rk1qs5x Жыл бұрын

I love these videos the jump where you immediately discount the 70 throws me. I wonder is there is a platform to do more of these questions to become more familiar with the process?

@rahulisgreat4911 Жыл бұрын

Thank you so much

@afarbasquiat7368 Жыл бұрын

Thanks for this amazing video, cat people are also awesome !!!!

@drawforge3920 Жыл бұрын

Ah this makes me remember many many imo sums involving P and Cs

@mdcs1992 Жыл бұрын

Sorrry. Got to tell you. I'm at 2:20 and I understand EVERYTHING so far. I'm a frickin' genius!

@Cpt_Dave Жыл бұрын

Oh, misunderstood the second one. Thought 40 people drink beer, 30 whiskey and 20 drink both, meaning a total of 90 people drink alcohol. But you mean that out of the 40 people who drink beer, 20 also drink whiskey. Otherwise it would have been 1/3.

@retu999 Жыл бұрын

I don't get the beer and whiskey question. "What is the probability of a person drinking beer, if chosen from this group of 120 people" would be 50 %, wouldn't it? But the question states "If the person drinks beer", so that one is a certain. Then it's asked: "What is the probability that the person drinking beer also drinks whiskey?". Wouldn't the answer to that be 20/60 = 33,33%? Cause there are 60 people who drink beer, but only 20 of those also drink whiskey? Shouldn't the diagram be: beer = 60, both = 20, whiskey = 50? So 40 that drink only beer, 20 drink both, and 30 that drink only whiskey. I guess the wording just doesn't make sense to me, since i'm not a native speaker. *Edit* The next question has the same problem i think. If it's certain the person chosen has a dog for example, then the probability of having both is 5/45, no? Would be way less confusing it the question was: "Out of 70 people 40 have dogs, 15 have cats, 5 have both and 15 have no pets". Then you would get the expression that the 5 who have both have to be included in the 40 and 15.

@murphygreen8484 Жыл бұрын

It definitely comes down to the language; and this problem is misleading. I took it, like you, that 40 people ONLY drink beer, and 30 people ONLY drink whiskey. I can see it both ways, but that's the way I would have/did understand the problem. The better way to word the problem would have been to say: "20 people drink only beer, 10 people drink only whiskey and 20 people drink both beer and whiskey"

@AnotherOneinUTUBE Жыл бұрын

Every person that drinks both beer and whiskey is also a beer drinker, and a whiskey drinker. So 20 people that drink both beer and whiskey are also included in the 40 of those that drink beer as well the 30 that drink whiskey. Ergo 20 of the 40 beer drinkers are drinking both > 20/40 and 20 of the 30 whiskey drinkers also drink both > 20/30

@-JA- Жыл бұрын

🙂👍

@lucasli3247 Жыл бұрын

@programmer4047 Жыл бұрын

First?

@user-du4cx9hk9e 9 ай бұрын

... Code Bullet?

@orac229 Жыл бұрын

The probability of me solving any conditional probability equations is ZERO

@samburdge9948 Жыл бұрын

Wine......although I'd drink anything............even though I don't drink as often as I used to............why is it 40,15, 5 equal 50 people......instead of that being 40 people own dog, 15 own cat, 5 both equaling 60 people