Question

Find the indicated probability. Round your answer to 6 decimal places when necessary
Find the probability of rolling 3 successive 2s with 3 rolls of a fair die

Answer 1

The probability of rolling a 2 with a fair die is 1/6.

To find the probability of rolling 3 successive 2s with 3 rolls of a fair die, we multiply the probabilities together since the events are independent.

So, the probability is (1/6) * (1/6) * (1/6) = 1/216 or approximately 0.004630.

Rounded to 6 decimal places, the probability is 0.004630.