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)   (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
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