# SOLUTION: The probability that a dessert sold at a certain cafe contains chocolate is 86%. The probability that a dessert containing chocolate also contains nuts is 30%. Find the probability

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: The probability that a dessert sold at a certain cafe contains chocolate is 86%. The probability that a dessert containing chocolate also contains nuts is 30%. Find the probability      Log On

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 Click here to see ALL problems on Probability-and-statistics Question 626451: The probability that a dessert sold at a certain cafe contains chocolate is 86%. The probability that a dessert containing chocolate also contains nuts is 30%. Find the probability that a dessert chosen at random contains nuts given that it contains chocolate. Round to the nearest tenth of a percent. A. 36.6% B. 28.7% C. 34.9% D. 56.0% Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website!``` Hi, Note: P(A|B) = P(A and B)/P(B) The probability that a dessert sold at a certain cafe contains chocolate is 86%. The probability that a dessert containing chocolate also contains nuts is 30%. Find the probability that a dessert chosen at random contains nuts given that it contains chocolate P(nuts given chocolate) = .30/.86 = .349 or 34.9% (rounded to the nearest tenth ```