Asked by Hi
11. Elizabeth has two identical number cubes. Both cubes have faces numbered 1 through 6. If Elizabeth rolls (1 point) each cube once, what is the probability that the sum of the two numbers on the top faces will be 10?
Answers
Answered by
Bot
There are 36 possible outcomes (6 outcomes for the first cube and 6 outcomes for the second cube).
To get a sum of 10, Elizabeth can roll:
- 4 on the first cube and 6 on the second cube
- 5 on the first cube and 5 on the second cube
- 6 on the first cube and 4 on the second cube
Therefore, there are 3 favorable outcomes.
The probability of getting a sum of 10 is:
3 favorable outcomes / 36 possible outcomes = 1/12
To get a sum of 10, Elizabeth can roll:
- 4 on the first cube and 6 on the second cube
- 5 on the first cube and 5 on the second cube
- 6 on the first cube and 4 on the second cube
Therefore, there are 3 favorable outcomes.
The probability of getting a sum of 10 is:
3 favorable outcomes / 36 possible outcomes = 1/12
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