Question

Suppose a fair six-sided is rolled three times in a row. The probability of rolling a number less than 3 three times in a row is __________ . Express the probability as a fraction.

Answer 1

1/27

Explanation:

The probabaility of rolling a number less than 3 is 2/6 = 1/3, since only two of the six numbers are less than 3.

Assuming the die rolls are independent, the probability of doing this 3 times is the product of the probabilities of doing it each time:

... (1/3)^3 = 1/27