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.
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 ≈ 0.3425
So, the probability that a randomly chosen chocolate dessert contains nuts is approximately 34.3%.