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)
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 numbersSolutionThe

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