Amelia 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 4?
6 over 36
5 over 36
4 over 36
3 over 36
The possible outcomes that result in a total of 4 are (1, 3), (2, 2), and (3, 1). This means there are 3 favorable outcomes out of a total of 36 possible outcomes in the sample space.
Therefore, the probability of getting a total of 4 is 3/36, which simplifies to 1/12.