A pair of dice is rolled What is the probability of getting

A pair of dice is rolled. What is the probability of getting a) a sum greater than 8? b) a sum less than 6? What is the probability of getting a sum greater than 8? in (Simplify your answer. Type a fraction.) What is the probability of getting a sum less than 6? (Simplify your answer. Type a fraction.)

Solution

total number of possible outcomes are 36

a)

the possible events for sum greater than 8 are (4,5) (5,5) (5,6) (6,6) (6,5) (6,4) (5,4)

number of outcomes = 7

P(sum greater than 8) = 7/36

b)

the possible events for sum less than 6 are (1,1) (1,2) (1,3) (1,4) (1,5) (2,1) (2,2) (2,3) (3,1) (3,2) (4,1)

number of outcomes = 11

P(sum less than 6) = 11/36