Of the last 12 contestants on a game show, 3 qualified for the bonus round. What is the experimental probability that the next contestant will qualify for the bonus round?

Write your answer as a fraction or whole number.
P(bonus round)=

1 answer

To find the experimental probability of the next contestant qualifying for the bonus round, we can use the results from the previous contestants.

The formula for experimental probability is:

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

In this case, the successful outcome is qualifying for the bonus round. From the last 12 contestants, 3 qualified. Therefore:

\[ P(\text{bonus round}) = \frac{3}{12} \]

This fraction can be simplified:

\[ P(\text{bonus round}) = \frac{1}{4} \]

So, the experimental probability that the next contestant will qualify for the bonus round is:

\[ \boxed{\frac{1}{4}} \]