The probability that a married man will vote in a specific e

The probability that a married man will vote in a specific election is 0.50, the probability that a married woman will vote in the election is 0.60, and the probability that a married woman will vote in the election given her husband votes is 0.90.

a. What is the probability that a husband and wife both vote in the election?

b. What is the probability that a husband will vote, given that his wife votes?

c. What is the probability that at least one member of a married couple will vote?

Solution

a)

P(H and W) = P(W|H) P(H)

= 0.90*0.50

= 0.45 [ANSWER]

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B)

P(H|W) = P(H and W)/P(W)

= 0.45/0.60

= 0.75 [ANSWER]

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C)

P(H U W) = P(H) + P(W) - P(H and W)

= 0.50 + 0.60 - 0.45

= 0.65 [ANSWER]