a. Since A and B are mutually exclusive events, the intersection of A and B is empty, so P(A ∩ B) = 0.
b. The union of A and B consists of all outcomes that are in A or in B or in both. Since A and B are mutually exclusive, P(A U B) = P(A) + P(B) = 0.26 + 0.36 = 0.62.
c. The probability of A given B, denoted as P(A | B), is the probability of event A occurring given that event B has already occurred. Since A and B are mutually exclusive, if event B has occurred, then event A cannot occur. Thus, P(A | B) = 0.
Let A and B be mutually exclusive events with P(A) = 0.26 and P(B) = 0.36.
a. Calculate P(A ∩ B). (Round your answer to 2 decimal places.)
b. Calculate P(A U B). (Round your answer to 2 decimal places.)
c. Calculate P(A | B). (Round your answer to 2 decimal places.)
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