Question

A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two even numbers? 3 9 18 36

Answer 1

Answer: 9

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Step-by-step explanation:

3/6 = 1/2 of the numbers on the cube are even (2,4,6)

If we wanted both cubes to show an even number, then this comes up (1/2)*(1/2) = 1/4 of the time.

There are 6*6 = 36 outcomes total, so there are (1/4)*36 = 9 outcomes when both dice show an even number.

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Those nine outcomes are listed below

1. A = 2, B = 2
2. A = 2, B = 4
3. A = 2, B = 6
4. A = 4, B = 2
5. A = 4, B = 4
6. A = 4, B = 6
7. A = 6, B = 2
8. A = 6, B = 4
9. A = 6, B = 6

You probably have noticed that A has 3 choices (2,4,6) and so does B. That gives 3*3 = 9 outcomes total. This is an alternative pathway compared to the previous section.