Question

100 adults were surveyed on which sport they like to watch on TV. The data is displayed on the two-way table. An adult is chosen at random. Find the probability that the adult chose basketball, given that they were female.
(1 Point)


16/73

15/60

11/73

45/60

Answer 1

To find the probability that a randomly chosen adult likes to watch basketball given that they are female, we need to know two pieces of information:

1. The number of females who like basketball.
2. The total number of females surveyed.

However, I do not have access to the specific two-way table data mentioned in your question. Generally, the probability \( P(B | F) \) can be calculated using the formula:

\[
P(B | F) = \frac{P(B \cap F)}{P(F)}
\]

Where:
- \( P(B | F) \) is the probability of liking basketball given that the person is female.
- \( P(B \cap F) \) is the number of females who like basketball.
- \( P(F) \) is the total number of females.

Once you have those two numbers, you can substitute them into the formula.

If you have data from the two-way table available that tells you how many females like basketball and the total number of females, you can simply plug those numbers into the formula.

If you provide the relevant counts from the table, I'd be glad to help with the calculations!