Question

A fair die is rolled five times. A 5 is considered success while all other outcomes are failures. Find the probability of 0 successes.

Answer 1

0.4018

Step-by-step explanation:

Since all other outcomes are failures, the probability that a die rolled a number different of 5 is equal to:

5/6

Because there are 5 possibilities (1, 2, 3, 4, and 6) out of 6 total options.

Then, if the die is rolled five times, the probability of 0 successes is

P = 5/6 x 5/6 x 5/6 x 5/6 x 5/6

P = 0.4018

Therefore, the answer is 0.4018