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

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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(24785) About Me  (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