Question

A standard number cube, numbered 1 through 6 on each side, is rolled 3 times. What is the probability of rolling a 2 on all three rolls? Enter the answer as a fraction

Answer 1

1/(6^3)

Explanation:

Each roll of the die constitutes a separate event.

These three events are independent.

The probability of rolling a 2 on the first throw is 1/6, since there is only one '2' among the six numbers on the die.

Because each roll is independent of the others, the probability of rolling a

2 1

on all three rolls is (1/6)(1/6)(1/6), or -----------

6^3

Answer 2

Rolling a 2 on a standard dice is 1/6. So multiply 1/6 *1/6 * 1/6= 1/36