Graduating high school seniors with an ACT score of at least 26 can seek admission in two

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Graduating high school seniors with an ACT score of at least 26 can seek admission in two universities, A and B. The probability of being accepted in A is .4 and in B .25. The chance of being accepted in both universities is only 15%.

(a) Determine the probability that the student is accepted in B given that A has granted admission as well.

(b) What is the probability that admission will be granted in A given that the student was accepted in B?

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