Call the spots on a die SMALL if they are 1 2 or 3 and LARGE
Call the spots on a die SMALL if they are 1, 2, or 3; and LARGE otherwise.
If you roll two fair dice, what is the chance of getting two SMALL numbers
Solution
The sample space is
There are total 36 possible events.
There are 9 possible events of of getting two SMALL numbers.
So the chance = 9/36 =1/4
| (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) |
