Events A and B are mutually exclusive. If P(A) = 0.27 and P(B) = 0.31, find the following. (a) P(AUB) (b) P(An B)

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Events A and B are mutually exclusive. If P(A) = 0.27 and P(B) = 0.31, find the following.
(a) P(A U B)
(b) P(An B)
Transcribed Image Text:Events A and B are mutually exclusive. If P(A) = 0.27 and P(B) = 0.31, find the following. (a) P(A U B) (b) P(An B)
Expert Solution
Step 1: Introduce the given information

Given events A and B are mutually exclusive. 

P(A) = 0.27 and P(B) = 0.31 

Using formulas,

If X and Y are two mutually exclusive events. Then

P left parenthesis X union Y right parenthesis equals P left parenthesis X right parenthesis plus P left parenthesis Y right parenthesis

P left parenthesis X intersection Y right parenthesis equals 0

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