Question
If Joe rolls a six-sided die 15 times, what is the best prediction possible for the number of times Joe will get a 6?
2.1
2.3
3.0
2.5
2.1
2.3
3.0
2.5
Answers
GPT-4o mini
To predict the number of times Joe will get a 6 when rolling a six-sided die 15 times, we can use the expected value.
The probability of rolling a 6 on a fair six-sided die is \( \frac{1}{6} \).
If Joe rolls the die 15 times, the expected number of times he will roll a 6 can be calculated as follows:
\[
\text{Expected number of 6s} = \text{Number of rolls} \times \text{Probability of 6}
\]
\[
\text{Expected number of 6s} = 15 \times \frac{1}{6} = 2.5
\]
Based on this calculation, the best prediction for the number of times Joe will get a 6 is **2.5**.
The probability of rolling a 6 on a fair six-sided die is \( \frac{1}{6} \).
If Joe rolls the die 15 times, the expected number of times he will roll a 6 can be calculated as follows:
\[
\text{Expected number of 6s} = \text{Number of rolls} \times \text{Probability of 6}
\]
\[
\text{Expected number of 6s} = 15 \times \frac{1}{6} = 2.5
\]
Based on this calculation, the best prediction for the number of times Joe will get a 6 is **2.5**.