Leslie Rose two fair number cubes numbered from one to six. She first defines the sample space as shown below based on the sample space what is the probability of getting a total of 11

Answer 1

The sample space for rolling two fair number cubes numbered from one to six is as follows:

(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)

In total, there are 36 possible outcomes.

To get a total of 11, the possible outcomes are as follows:

(5,6), (6,5)

There are 2 favorable outcomes out of 36 total outcomes.

Therefore, the probability of getting a total of 11 is 2/36 or 1/18.