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
The experimental probability is calculated by taking the number of successful outcomes and dividing it by the total number of trials.
In this case, 3 contestants qualified for the bonus round out of 12 total contestants.
So, the experimental probability \( P(\text{bonus round}) \) is:
\[
P(\text{bonus round}) = \frac{\text{Number of contestants qualifying}}{\text{Total number of contestants}} = \frac{3}{12} = \frac{1}{4}
\]
Therefore, the experimental probability that the next contestant will qualify for the bonus round is \( \frac{1}{4} \).
In this case, 3 contestants qualified for the bonus round out of 12 total contestants.
So, the experimental probability \( P(\text{bonus round}) \) is:
\[
P(\text{bonus round}) = \frac{\text{Number of contestants qualifying}}{\text{Total number of contestants}} = \frac{3}{12} = \frac{1}{4}
\]
Therefore, the experimental probability that the next contestant will qualify for the bonus round is \( \frac{1}{4} \).