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.

Answer 1

Each roll is independent of the other.

(1 / 6)^3 = 1 / 216

The probability is 1 / 216

Answer 2

The probability of rolling a 2 on the three rolls is P = 0.0046

How to get the probability?

Each number on the number cube has the same probability of rolling up. Then if we have 6 numbers, the probability of rolling a 6 is:

P = 1/6.

Now, if we want to roll a 2 three times, then we must have that probability 3 times (remember that the probabilities multiply between them). Then the probability of rolling three times the number 2 is:

P = (1/6)*(1/6)*(1/6) = 0.0046

If you want to learn more about probability, you can read:

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