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

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

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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When you say "think through", do you mean working out a specific exercise or understanding what conditional probabilities generally mean?
(I think I can help you in both cases!)
yes working out a specific excercise !?

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?? help
Okay there's a formula for the conditional probability, which is P(A|B) = P(A and B)/P(B)
Have you seen that before?
yes!
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?
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 :)
I can draw a picture, if it helps.
post the conditional probability problem you are working on and we can work through it.
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P(A|B) means that you know for sure that B has happened, and you want to know the chance of A happening now.
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.
That's why you get the formula P(A and B) / P(B).
Perfect! I think I understand it better haha. My professors sucks, but have a great day guys!
You too :)
Great job of explaining things @BasketWeave

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