To find the probability that someone likes apples given that they like comedy, we can use the formula for conditional probability:
\[ P(A | B) = \frac{P(A \cap B)}{P(B)} \]
Where:
- \(P(A | B)\) is the probability of liking apples given that they like comedy.
- \(P(A \cap B)\) is the number of people who like both apples and comedy.
- \(P(B)\) is the total number of people who like comedy.
From the table:
- The number of people who like both apples and comedy is 12.
- The total number of people who like comedy is 22.
Thus, we can calculate:
\[ P(A | B) = \frac{12}{22} \]
To reduce this fraction, we find the greatest common divisor (GCD) of 12 and 22, which is 2. Dividing both the numerator and the denominator by 2 gives:
\[ P(A | B) = \frac{12 \div 2}{22 \div 2} = \frac{6}{11} \]
So, the probability that someone likes apples given that they like comedy is:
\(\frac{6}{11}\)