Let A and B be independent with PA 046 and PB 056 a Calcul

Let A and B be independent with P(A) = 0.46 and P(B) = 0.56. a. Calculate P(A B). (Round your answer to 2 decimal places.) P(A B) b. Calculate P((A U B)c). (Round your answer to 2 decimal places.) P((A U B)c) c. Calculate P(A | B). (Round your answer to 2 decimal places.) P(A | B)

Solution

a)

As they are independent,

P(A n B) = P(A) P(B) = 0.40*0.50 = 0.20 [ANSWER]

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b)

P(A U B)c = 1 - P(A U B) = 1 - [P(A) + P(B) - P(A)P(B)]

= 1 - (0.4+0.5-0.4*0.5)

= 0.30 [ANSWER]

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c)

As they are independent,

P(A|B) = P(A) = 0.40 [ANSWER]

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