The probability that a dessert sold at a certain café contains chocolate is 73%. The probability that a dessert contains both chocolate and nuts is 25%. Find the probability that a randomly chosen chocolate dessert contains nuts. Round to the nearest tenth of a percent.

Question

(1 point)
Responses

29.2%
29.2%

48.0%
48.0%

34.2%
34.2%

36%
36%

Answer 1

To find the probability that a randomly chosen chocolate dessert contains nuts, we can use the formula for conditional probability:

P(nuts | chocolate) = P(chocolate and nuts) / P(chocolate)

P(nuts | chocolate) = 0.25 / 0.73

P(nuts | chocolate) = 0.3424

Converting to a percentage and rounding to the nearest tenth of a percent, we get 34.2%.

Therefore, the correct response is:

34.2%