The probability that a dessert sold at a certain café contains chocolate is 73%. The probability that a dessert contains

Question

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%

Answer 1

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

P(A|B) = P(A and B) / P(B)

Where:
- P(A|B) is the probability of event A given event B
- P(A and B) is the probability of both A and B happening
- P(B) is the probability of event B happening

In this case, event A is a chocolate dessert containing nuts, and event B is a chocolate dessert. We are given that:
- P(A and B) = 25%
- P(B) = 73%

Plugging in the values:
P(A|B) = 25% / 73% = 0.342 = 34.2%

Therefore, the probability that a randomly chosen chocolate dessert contains nuts is 34.2%. Rounded to the nearest tenth of a percent, this is 34.2%. So the answer is:

34.2%