Assume you roll two 4sided dice numbered discretely from one

Assume you roll two 4-sided dice numbered discretely from one to four. What is the probability of rolling a total of five? Show work!

Solution

Rolling a dice twice for 4 sided = 4^2 = 16

Sample space = {(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)
}

rolling a total of five = { (1,4), (2,3), (3,2), (4,1) }

P(rolling a total of five) =4/16 = 1/4 = 0.25