Given a 4 sided cube, with the numbers 1. 2. 3. 4. on each side, what would be the probability of rolling 2, 4 sided cubes and getting a sum of 5? whats the sample space and favorable outcome
Here is the sample space, where the left number within each
pair of parentheses represents the number rolled on the first
die and the second represents that on the second die.
(1,1) (1,2) (1,3) (1,4)
(2,1) (2,2) (2,3) (2,4)
(3,1) (3,2) (3,3) (3,4)
(4,1) (4,2) (4,3) (4,4)
Next I will color the ones red which have a sum of 5:
(1,1) (1,2) (1,3) (1,4)
(2,1) (2,2) (2,3) (2,4)
(3,1) (3,2) (3,3) (3,4)
(4,1) (4,2) (4,3) (4,4)
That's 4 out of 16, so the probability is
which reduces to
Edwin