Solve the following problems completely Round off answers to

Solve the following problems completely. Round off answers to four decimal places whenever applicable.

1) Given events A and B with P(A) = 0.5 , P(B/A) = 0.2 , P(A or B) = 0.9 . Find the following:

A. P(A and B)

B. P(B)

C. P(A/B)

D. P( AorB)

i need the answer from A to D

Solution

a)

P(A and B) = P(B|A) P(A) = 0.2*0.5 = 0.1 [ANSWER]

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b)

P(B) = P(A or B) + P(A and B) - P(A)

= 0.9 + 0.1 - 0.5

= 0.5 [ANSWER]

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c)

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

= 0.1/0.5

= 0.2 [ANSWER]

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d)

P(A\' or B\') = 1 - P(A and B)

= 1 - 0.1

= 0.9 [ANSWER]