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A high school senior applies for admission to college A and to college B. He estimates that the probability of his being rejected by B
A high school senior applies for admission to college A and to college B. He estimates that the probability of his being rejected by B is 0.5, that his application will be accepted at A with a probability of 0.3, and that the probability of at least one of his applications being rejected is 0.9. What is the probability that:
a) he will be accepted by both colleges?
b) he will be rejected by exactly one college?
c) he will be accepted by B and rejected by A?
d) given that he has been accepted by A, he will be accepted by B?
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