Question
what is the probability of rolling a sum that exceeds 4 with two dice
Answers
Reiny
Let's take a look at what we DON"T want
We do not want sums of 2, 3 and 4
sum of 2 -- 1 way
sum of 3 -- 2 ways
sum of 4 -- 3 ways , for a total of 6 we do not want
Since the two dice can fall in 36 ways,
30 of them would exceed a sum of 4
prob(your event) = 30/36 = 5/6
We do not want sums of 2, 3 and 4
sum of 2 -- 1 way
sum of 3 -- 2 ways
sum of 4 -- 3 ways , for a total of 6 we do not want
Since the two dice can fall in 36 ways,
30 of them would exceed a sum of 4
prob(your event) = 30/36 = 5/6