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OpenStudy (anonymous):

Is there another way to think through conditional probabilities without using a tree diagram?

OpenStudy (anonymous):

When you say "think through", do you mean working out a specific exercise or understanding what conditional probabilities generally mean?

OpenStudy (anonymous):

(I think I can help you in both cases!)

OpenStudy (anonymous):

yes working out a specific excercise !?

OpenStudy (anonymous):

?? help

OpenStudy (anonymous):

Okay there's a formula for the conditional probability, which is P(A|B) = P(A and B)/P(B)

OpenStudy (anonymous):

Have you seen that before?

OpenStudy (anonymous):

yes!

OpenStudy (anonymous):

Okay, cool! Would you like me to take you through a specific example to see how it works, or does that sort out your problem?

OpenStudy (anonymous):

no I was just wondering if there was another way besides using that formula ? But if you want to show me an example that would be great too :)

OpenStudy (anonymous):

I can draw a picture, if it helps.

hero (hero):

post the conditional probability problem you are working on and we can work through it.

OpenStudy (anonymous):

|dw:1442528356799:dw|

OpenStudy (anonymous):

P(A|B) means that you know for sure that B has happened, and you want to know the chance of A happening now.

OpenStudy (anonymous):

If B has already happened, then you know that you're somewhere inside the circle on the right (in my drawing). To find the probability of A also happening, you need to see how big the area marked "A and B" is compared to the whole of the circle B.

OpenStudy (anonymous):

That's why you get the formula P(A and B) / P(B).

OpenStudy (anonymous):

Perfect! I think I understand it better haha. My professors sucks, but have a great day guys!

OpenStudy (anonymous):

You too :)

hero (hero):

Great job of explaining things @BasketWeave

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