Given that B2 has occurred what is the probability that A oc

Given that B₂ has occurred, what is the probability that A occurs? (Round your intermediate calculations and final answers to 4 decimal places.)

Given that A has occurred, what is the probability that B₄ occurs? (Round your intermediate calculations and final answers to 4 decimal places.)

Solution

a) P(A) =0.60

b) P(B2) =0.25

c) P(A^c and B4) =0.12

d) P(A or B3) = P(A)+P(B3)-P(A and B3)

= 0.60+0.30-0.21

= 0.69

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e) P(A/B2) = P(A and B2)/P(B2)

= 0.15/0.25 = 3/5 =0.6

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f) P(B4/A) = P(B4A)/P(A)

= 0.15/0.60 = 0.25