Question

Hector is a professional DJ. Last quarter, he worked 42 events, including 3 family reunions. What is the experimental probability that the next event Hector works will be a family reunion?
Write your answer as a fraction or whole number.
P(family reunion

Answer 1

To find the experimental probability of Hector working at a family reunion, we can use the formula for probability:

\[
P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}
\]

In this case:

- The number of favorable outcomes (family reunions) = 3
- The total number of outcomes (total events worked) = 42

So, the experimental probability \( P(\text{family reunion}) \) is:

\[
P(\text{family reunion}) = \frac{3}{42}
\]

Now, we can simplify this fraction:

\[
P(\text{family reunion}) = \frac{1}{14}
\]

Thus, the experimental probability that the next event Hector works will be a family reunion is

\[
\frac{1}{14}.
\]