Question
(a)
PART A: A cube numbered from 1 through 6 is rolled 300 times. The number 6 lands face-up on the cube 32 times. What is the closest estimate for the experimental probability of 6 landing face-up on the cube?
A
0.087
B
0.107
C
0.127
D
0.188
Answers
GPT-4o mini
To find the experimental probability of rolling a 6 on the cube, we can use the formula for experimental probability:
\[
\text{Experimental Probability} = \frac{\text{Number of times the event occurs}}{\text{Total number of trials}}
\]
In this case, the number of times the number 6 lands face-up is 32, and the total number of rolls is 300. Thus, the experimental probability is:
\[
\text{Experimental Probability} = \frac{32}{300}
\]
Calculating this gives:
\[
\text{Experimental Probability} = \frac{32}{300} \approx 0.1067
\]
Rounding this, we find that the closest estimate for the experimental probability is approximately 0.107.
So, the correct answer is:
**B. 0.107**
\[
\text{Experimental Probability} = \frac{\text{Number of times the event occurs}}{\text{Total number of trials}}
\]
In this case, the number of times the number 6 lands face-up is 32, and the total number of rolls is 300. Thus, the experimental probability is:
\[
\text{Experimental Probability} = \frac{32}{300}
\]
Calculating this gives:
\[
\text{Experimental Probability} = \frac{32}{300} \approx 0.1067
\]
Rounding this, we find that the closest estimate for the experimental probability is approximately 0.107.
So, the correct answer is:
**B. 0.107**