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To solve this problem, we’ll use the formula for the probability of the union of two events, which in this case are being a football player or a basketball player. Let’s define:

- **P(F)**: Probability of being a football player = 13%
- **P(B)**: Probability of being a basketball player = 12%
- **P(F ∩ B)**: Probability of being both a football and basketball player = 7%

The formula for the probability of being either a football player or a basketball player (the union of two events) is:

\[
P(F \cup B) = P(F) + P(B) - P(F \cap B)
\]

Plugging in the values:

\[
P(F \cup B) = 13\% + 12\% - 7\%
\]

\[
P(F \cup B) = 18\%
\]

So, the probability that a randomly chosen athlete is either a football player or a basketball player is **18%**.

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:
1. How would the probability change if more athletes played both sports?
2. What if there were three sports involved, like soccer, and some athletes played all three?
3. How can we calculate the probability of an athlete playing neither football nor basketball?
4. How would you interpret the probability if the numbers given were frequencies instead of percentages?
5. If 5% of the athletes only played football, how would that affect our calculation?

**Tip:** When calculating probabilities for "either/or" scenarios involving overlap, always remember to subtract the overlap to avoid double-counting.

A survey of athletes at a high school is conducted, and the following facts are discovered: 13% of the athletes are football players, 12% are basketball players, and 7% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that they are either a football player or a basketball player?

Learn how to calculate the probability that a randomly chosen high school athlete is either a football or basketball player, using given percentages. This problem covers probability concepts and the inclusion-exclusion principle, suitable for Grades 8-10.

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