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
3
9
18
36
Answers
GPT-4o mini
To determine the number of outcomes when a cube numbered from 1 to 6 is rolled twice and results in two even numbers, we first need to identify the even numbers on the cube. The even numbers are 2, 4, and 6.
There are 3 even numbers on the cube:
- 2
- 4
- 6
When rolling the cube twice, we can choose an even number for the first roll and an even number for the second roll.
Since each roll is independent, the number of outcomes consisting of two even numbers can be calculated as follows:
\[
\text{Number of choices for the first roll} \times \text{Number of choices for the second roll} = 3 \times 3 = 9
\]
Therefore, the total number of possible outcomes where both rolls result in even numbers is **9**.
Thus, the answer is **9**.
There are 3 even numbers on the cube:
- 2
- 4
- 6
When rolling the cube twice, we can choose an even number for the first roll and an even number for the second roll.
Since each roll is independent, the number of outcomes consisting of two even numbers can be calculated as follows:
\[
\text{Number of choices for the first roll} \times \text{Number of choices for the second roll} = 3 \times 3 = 9
\]
Therefore, the total number of possible outcomes where both rolls result in even numbers is **9**.
Thus, the answer is **9**.