Question

A fair number cube ,labeled with 1 through 6 is rolled four times .What is the probability of rolling a 6 all four times ?

Answer 1

1/1296

Explanation:

Assuming that the probability of rolling a number is the same (1/6), all we have to do it multiply 1/6 by 4 (the number of times you roll the dice).

So 1/6 * 1/6 * 1/6 * 1/6 is just 1/6^4 and 6^4 is 1296.

Therefore the probability of rolling a 6 4 times in a row is 1/1296.