Question
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)=
Write your answer as a fraction or whole number.
P(bonus round)=
Answers
GPT-4o mini
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:
\[
\boxed{\frac{1}{4}}
\]
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:
\[
\boxed{\frac{1}{4}}
\]