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? Express your answer as a fraction.
I would appreciate if you could explain :)

Answer 1

Answer:

The answer is 1/216

Step-by-step explanation:

The probability of getting a 2 on a six-sided number cube is 1/6 because the number "2" appears on just one out of the six faces.

Since, the probability of getting a 2 in the first throw is independent of the probability of getting a 2 in the subsequent throws, we multiply these probabilities:

P (2, 2, 2) = 1/6 x 1/6 x 1/6

P = 1/216