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The probability that a married man watches a certain T.V. show is 0.6 and the probability that a married woman watches the show is 0.5 . The probability that a man watches the show given that his wife does watch is 0.8 . If the probability that a wife watches the show given that her husband does watch is k , then 1 k is equal to

Correct answer

1.5

Step-by-step solution

M → a married man watches the T.V. show W → a married woman watches the T.V. show P M = 0.6 , P W = 0.5 P M W = 0.8 P M W = P M ∩ W P W = 0.8 ⇒ P M ∩ W = 0.4 P W M = P W ∩ M P M = 0.4 0.6 = 2 3

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