Two dice are rolled. Find the probablility that the
score on the dice is either 12 or at most 5.
Here is the sample space of all 36 possible rolls of
a pair of dice:
(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) (5,2) (6,3) (6,4) (6,5) (6,6)
Now I will color the ones red which are
either 12 or at most 5.
(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) (5,2) (6,3) (6,4) (6,5) (6,6)
Count the red ones. There are 11. That's 11 out of 36. So
the probability is
Edwin