Suppose for events A and B connected to some random experime

Suppose for events A and B connected to some random experiment, P(A)=0.50 and P(B)=0.50. Compute the indicated probability, or explain why there is not enough information to do so.

B. P(AB), with the extra information that A and B are independent.

C. P(AB), with the extra information that A and B are mutually exclusive.

Solution

b)

If A and B are independent.

P(A n B) = P(A) P(B)

Thus,

P(A n B) = 0.5*0.5 = 0.25 [ANSWER]

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c)

As they are mutually exclusive, their intersection is impossible,

P(A n B) = 0 [ANSWER]