b Express the event the twodice sum to five or less as a set

b. Express the event “the two-dice sum to five or less” as a set (show each of the possible combinations).

Solution

All possible combinations for two-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), (6,2), (6,3), (6,4), (6,5), (6,6)

then All possible combinations for “the two-dice sum to five or less

(1,1), (1,2), (1,3), (1,4),
(2,1), (2,2), (2,3)
(3,1), (3,2),
(4,1),