Question

A fair six-sided die is rolled 66 times. Theoretically, about how many times should a roll of "6 occur?​

Answer 1

Answer:

11

Step-by-step explanation:

On a fair six-sided die, there is a $\frac{1}{6}$ chance of rolling each number. Therefore, for each of the rolls, the number 6 has a $\frac{1}{6}$ chance of being rolled. This can be read as for every 6 rolls, one 6 should appear.

Since the die is being rolled 66 times, we have the following proportion:

$\frac{1}{6}=\frac{x}{66}$, where $x$ is the theoretical number of times a roll of "6" occurs.

Multiply both sides by 66:

$x=\frac{1}{6}\cdot 66=\boxed{11}$