Question

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

Answer 1

11

Explanation:

On a fair six-sided die, there is a
`(1)/(6)` chance of rolling each number. Therefore, for each of the rolls, the number 6 has a
`(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:

`(1)/(6)=(x)/(66)`, where
`x` is the theoretical number of times a roll of "6" occurs.

Multiply both sides by 66:

`x=(1)/(6)\cdot 66=\boxed{11}`