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 (1 point) 29.2% 48.0% 34.2% 36%
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)
Given:
P(Chocolate) = 73%
P(Chocolate and Nuts) = 25%
P(Nuts|Chocolate) = 25% / 73%
P(Nuts|Chocolate) ≈ 34.2%
Therefore, the probability that a randomly chosen chocolate dessert contains nuts is approximately 34.2%.
So, the answer is 34.2%.