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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).
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).
Answer:P(A) = 0.62P(B) = 0.5Step-by-step explanation:Given the followingP(A or B) = 0.96P(A and B) = 0.16P( A | B ) = 0.32According to conditional probabilityP( A | B ) = P(A and B) /P(B)0.32 = 0.16/P(B)P(B)= 0.16/0.32P(B)= 0.5P(A or B) = p(A) + p(B) – p(A and B)Substitute the given values0.96 = P(A)+ 0.5 - 0.16P(A) = 0.96 - 0.5 + 0.16P(A) = 0.62...
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