Question

A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two even

Answer 1

Step-by-step explanation:

rolling the die twice as one event we get 6×6 = 36 possible outcomes.

rolling an even number on the first try gives us 3 desired outcomes (2, 4, 6).

rolling it a second time gives us again 3 desired outcomes.

in total we have

3×3 = 9 such outcomes with 2 even numbers.

the probability for that is then

9/36 = 1/4 = 0.25

FYI - we have also 9 possible outcomes for the first roll being odd and the second being even, 9 possible outcomes for the first being even and the second being odd, and 9 possible outcomes for both being odd.

together with the 9 for both being even we get the full 36 possible outcomes. no other event is possible.