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

Answer 1

When rolling a six-sided die, the probability of rolling a 6 on any given roll is \( \frac{1}{6} \).

If Joe rolls the die 15 times, the expected number of times he will roll a 6 can be calculated by multiplying the probability of rolling a 6 by the number of rolls:

\[
\text{Expected number of 6s} = \text{Number of rolls} \times \text{Probability of rolling a 6}
\]
\[
\text{Expected number of 6s} = 15 \times \frac{1}{6} = 2.5
\]

Therefore, the best prediction for the number of times Joe will get a 6 is **2.5**.