Question

Customers at an ice cream parlor were surveyed about the flavor of ice cream they liked best: vanilla or chocolate. The probability of the customers choosing vanilla was the probability of the customers choosing chocolate. The probability of the customers liking both flavors is of the probability of the customers liking vanilla. If the probability of the customers liking either vanilla or chocolate is , what is the probability of the customers liking chocolate?

Answer 1

To find the probability of the customers liking chocolate, we need to first find the probability of the customers liking either vanilla or chocolate. We can use the given information to set up an equation and solve for the probability. Once we find the probability, we can calculate the probability of the customers liking chocolate.

Step-by-step explanation:

To find the probability of the customers liking chocolate, we need to know the probability of the customers liking either vanilla or chocolate. Let's say the probability of the customers liking either vanilla or chocolate is P. According to the given information, the probability of the customers choosing vanilla is the same as the probability of the customers choosing chocolate. So, the probability of the customers liking vanilla is P/2. And the probability of the customers liking both flavors is P/3.

Since the probability of the customers liking either vanilla or chocolate is P, we can add the probabilities of them liking vanilla and chocolate and subtract the probability of them liking both flavors to get:

P = P/2 + P/2 - P/3

Solving this equation will give us the value of P. Once we find P, we can calculate the probability of the customers liking chocolate by multiplying P by 2/3 (since the probability of liking vanilla is P/2):

Probability of liking chocolate = P * 2/3