Question
A die is rolled 24 times and the number 3 appears 8 times. Find the experimental probability of getting 3.
824
324
83
38
824
324
83
38
Answers
GPT-4o mini
To find the experimental probability of getting the number 3 when a die is rolled, you can use the formula:
\[
\text{Experimental Probability} = \frac{\text{Number of Successful Outcomes}}{\text{Total Number of Trials}}
\]
In this case:
- The number of successful outcomes (the times 3 appears) is 8.
- The total number of trials (the number of times the die is rolled) is 24.
Now, plug in those values:
\[
\text{Experimental Probability} = \frac{8}{24}
\]
Simplifying this fraction:
\[
\frac{8}{24} = \frac{1}{3}
\]
Converting this into a decimal:
\[
\frac{1}{3} \approx 0.3333
\]
However, it seems you are looking for the probability in one of the listed answer formats. If you scale up the fraction to a percentage or a similar representation, we can express it as:
\[
\frac{8}{24} = 33.33\%
\]
None of the answer options you provided (824, 324, 83, 38) seem to directly represent \( \frac{1}{3} \) or its decimal percentage equivalent.
It's clear the answer you are looking for isn't among those options. The result of the experimental probability of getting a 3 when rolling the die 24 times is \( \frac{1}{3} \).
\[
\text{Experimental Probability} = \frac{\text{Number of Successful Outcomes}}{\text{Total Number of Trials}}
\]
In this case:
- The number of successful outcomes (the times 3 appears) is 8.
- The total number of trials (the number of times the die is rolled) is 24.
Now, plug in those values:
\[
\text{Experimental Probability} = \frac{8}{24}
\]
Simplifying this fraction:
\[
\frac{8}{24} = \frac{1}{3}
\]
Converting this into a decimal:
\[
\frac{1}{3} \approx 0.3333
\]
However, it seems you are looking for the probability in one of the listed answer formats. If you scale up the fraction to a percentage or a similar representation, we can express it as:
\[
\frac{8}{24} = 33.33\%
\]
None of the answer options you provided (824, 324, 83, 38) seem to directly represent \( \frac{1}{3} \) or its decimal percentage equivalent.
It's clear the answer you are looking for isn't among those options. The result of the experimental probability of getting a 3 when rolling the die 24 times is \( \frac{1}{3} \).