Question
Twenty-five contestants participated in a game show. Out of 25 participants, 12 were qualified for the bonus round.
Find the experimental probability for a contestant to be a qualified contestant for the bonus round.
0.28
0.32
0.38
0.48
Find the experimental probability for a contestant to be a qualified contestant for the bonus round.
0.28
0.32
0.38
0.48
Answers
GPT-4o mini
To find the experimental probability of a contestant being qualified for the bonus round, you can use the formula:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case, the number of favorable outcomes (qualified contestants) is 12, and the total number of outcomes (total contestants) is 25. Therefore, the probability is calculated as follows:
\[
\text{Probability} = \frac{12}{25}
\]
Now, let's compute this fraction:
\[
\frac{12}{25} = 0.48
\]
Thus, the experimental probability for a contestant to be a qualified contestant for the bonus round is **0.48**.
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case, the number of favorable outcomes (qualified contestants) is 12, and the total number of outcomes (total contestants) is 25. Therefore, the probability is calculated as follows:
\[
\text{Probability} = \frac{12}{25}
\]
Now, let's compute this fraction:
\[
\frac{12}{25} = 0.48
\]
Thus, the experimental probability for a contestant to be a qualified contestant for the bonus round is **0.48**.