Question

What is the probability of rolling a 3 on a 6-sided number cube and then NOT rolling a 3 on a 6-sided number cube?

36

Answer 1

The probability of rolling a 3 on a 6-sided number cube and then not rolling a 3 on a 6-sided number cube is 5/36.

Step-by-step explanation:

To find the probability of rolling a 3 on a 6-sided number cube and then not rolling a 3 on a 6-sided number cube, we multiply the probabilities of each event. The probability of rolling a 3 on a 6-sided number cube is 1/6, because there is 1 favorable outcome (rolling a 3) out of 6 possible outcomes (numbers 1 to 6).

Then, the probability of not rolling a 3 on a 6-sided number cube is 5/6, because there are 5 favorable outcomes (rolling a number other than 3) out of 6 possible outcomes.

To find the probability of both events happening, we multiply the probabilities together: (1/6) * (5/6) = 5/36.

Answer 2

Do determine the probability of two events occurring in sequence, multiply the probability of each event against the other.

There's a 1 in 6 chance of rolling a 3 on a 6-sided number cube; there's a 5 in 6 chance of rolling not-a-3 on a 6-sided number cube; thus, the chance of rolling a 3 that is immediately followed by a not-3 is:

(1/6) times (5/6) = (5/36)