Dalton plans to roll a fair 6-sided die 300 times. We need to find the best prediction for the number of times he will roll a 5 or a 6.

1. Problem Description

Dalton plans to roll a fair 6-sided die 300 times. We need to find the best prediction for the number of times he will roll a 5 or a

6.

2. Solution Steps

A fair 6-sided die has 6 possible outcomes: 1, 2, 3, 4, 5, and

6. The probability of rolling a 5 is $\frac{1}{6}$.

The probability of rolling a 6 is $\frac{1}{6}$.

The probability of rolling a 5 or a 6 is the sum of the individual probabilities:

$P(5 \text{ or } 6) = P(5) + P(6) = \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3}$.

The expected number of times he will roll a 5 or a 6 in 300 rolls is the probability of rolling a 5 or 6 multiplied by the number of rolls:

$E = (\text{number of rolls}) \times P(5 \text{ or } 6) = 300 \times \frac{1}{3} = 100$.

3. Final Answer

100