Question

If you roll a number cube two times, what is the probability of rolling an even on the first roll and a four on the second roll?

Answer 1

1/12

Explanation:

Probability is a ratio derived as the number of possible outcomes divided by the total outcome.

On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)

= 3/6

The probability of rolling a 4 P(4)

= 1/6 (4 appears on one side)

Hence the probability of rolling an even on the first roll and a four on the second roll

P(En4) = 3/6 * 1/6

= 3/36

= 1/12