Jon P. answered • 03/31/15

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The formula for conditional probability is pretty simple:

P (A | B) = P (A∩B) / P (B)

So in these cases:

1) Pr [E | F] = Pr (E∩F) / Pr (F) = 0.25 / 0.45 = 0.556

2) Pr [F | E] = Pr (E∩F) / Pr (E) = 0.25 / 0.45 = 0.556

So they're both the same, 0.556.

Jon P.

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I think your best bet is to post each of them as a separate question, not as a comment to this question. Then all the tutors will see them and you have more chance of getting answers.

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03/31/15

Katie C.

What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?

(1) What is the probability that exactly one blue ball is chosen?

(2) What is the probability that the second ball is blue given that at least one of the balls is blue?

(1) What is the probability that both balls are red?

(2) What is the probability that both balls are red given that the first ball you drew was red?

03/31/15