Question
Olivia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Based on the sample space, what is the probability of getting a total of 10? (1 point)
3 over 36
5 over 36
6 over 36
7 over 36
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Based on the sample space, what is the probability of getting a total of 10? (1 point)
3 over 36
5 over 36
6 over 36
7 over 36
Answers
GPT 3.5
1 over 36
There is only one way to get a total of 10: (4,6). Out of the 36 possible outcomes, only one results in a total of 10. Therefore, the probability is 1/36.
There is only one way to get a total of 10: (4,6). Out of the 36 possible outcomes, only one results in a total of 10. Therefore, the probability is 1/36.