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 for experimental probability:
\[
\text{Experimental Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}
\]
In this case, the number of favorable outcomes (getting a 3) is 8, and the total number of trials (rolls of the die) is 24. Therefore, the experimental probability is:
\[
\text{Experimental Probability} = \frac{8}{24} = \frac{1}{3} \approx 0.3333
\]
So in decimal form, this is approximately 0.33. If you convert this to a percentage, it would be about 33.33%.
None of the options you provided (824, 324, 83, 38) are correct, as they do not represent the experimental probability calculated. The answer is \(\frac{1}{3}\) or approximately 0.33.
\[
\text{Experimental Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}
\]
In this case, the number of favorable outcomes (getting a 3) is 8, and the total number of trials (rolls of the die) is 24. Therefore, the experimental probability is:
\[
\text{Experimental Probability} = \frac{8}{24} = \frac{1}{3} \approx 0.3333
\]
So in decimal form, this is approximately 0.33. If you convert this to a percentage, it would be about 33.33%.
None of the options you provided (824, 324, 83, 38) are correct, as they do not represent the experimental probability calculated. The answer is \(\frac{1}{3}\) or approximately 0.33.