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Consider the probability statements regarding events A and B shown below P(A or B) = 0.96 P(A and B) = 0.16 P( A | B ) = 0.32 Determine P(A) and P(B).

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Answer:

P(A) = 0.62

P(B) = 0.5

Step-by-step explanation:

Given the following

P(A or B) = 0.96

P(A and B) = 0.16

P( A | B ) = 0.32

According to conditional probability

P( A | B ) = P(A and B) /P(B)

0.32 = 0.16/P(B)

P(B)= 0.16/0.32

P(B)= 0.5

P(A or B)  = p(A) + p(B) – p(A and B)

Substitute the given values

0.96 = P(A)+ 0.5 - 0.16

P(A) = 0.96 - 0.5 + 0.16

P(A) = 0.62

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