Question

A fair die is a cube with six sides numbered 1 to 6. Suppose a fair die is rolled 8 times. What is the probability of rolling a 3 on the die 5 times? Express your answer as a decimal rounded to 4 decimal places after the decimal point.

Answer 1

0.0772

Explanation:

Probabilities are expressed by (favourable outcomes / total number of outcomes). In this problem, there is 1 favourable outcome- 3. There are also 6 total outcomes because this is a 6 sided die.

That means the outcome for rolling a 3 is equal to 1/6.

To find the probability of rolling a 3 several times, we multiply the probability of the first event by the number of times we want it to occur.

1/6 ^5 = 6/7,776 = 0.0772

This about a 8% chance