Pa037 pB041 PA and B02 a what is PA b what is Pa or b c what

P(a)=0.37 p(B)=0.41 P(A and B)=0.2

a. what is P(A\')

b. what is P(a or b)

c. what is P(A|B)

d. what is P(B|A)

e. what is P(A\'|B)

Solution

a)

P(A\') = 1- P(A) = 1 - 0.37 = 0.63 [ANSWER]

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b)

P(A or B) = P(A) + P(B) - P(A and B) = 0.37 + 0.41 - 0.2 = 0.58 [ANSWER]

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C)

P(A|B) = P(A and B)/P(B) = 0.2/0.41 = 0.487804878 [ANSWER]

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d)

P(B|A) = P(A and B)/P(A) = 0.2/0.37 = 0.540540541 [ANSWER]

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e)

P(A\'|B) = [P(B) - P(A and B)]/P(B)

= (0.41 - 0.2)/0.41

= 0.512195122 [ANSWER]