Question

maria has an 8-sided die that is numbered from 1 to 8. she rolls the die 96 times. about how many times can she expect to roll an 8?
about 8 times
about 12 times
about 16 times
about 768 times

Explanation:

Step1: Determine probability of rolling an 8

The die has 8 sides (numbered 1 - 8), so the probability of rolling an 8, $P(8)$, is $\frac{1}{8}$.

Step2: Calculate expected number of times

Maria rolls the die 96 times. The expected number of times to roll an 8 is the number of trials (rolls) multiplied by the probability of rolling an 8. So we calculate $96\times\frac{1}{8}$.
$96\times\frac{1}{8}=\frac{96}{8} = 12$.

Answer:

about 12 times