A fair 6-sided die is rolled three times. What is the probability that all three rolls are 4? Write your answer as a fraction or a decimal, rounded to four decimal places.

Answer 1

Each event (roll of the dice) is independent.

So the probability of a 4 in 3 successive rolls is 1/6 x 1/6 x1/6 = 1/236 =.0042

Answer 2

Each event (roll of the dice) is independent.

So the probability of a 4 in 3 successive rolls is 1/6 x 1/6 x1/6 = 1/236 =.0042