Question

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 9? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

The sample space is,

Ist die/2nd die 2 3 2 3 4 5 6 (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) 4 5 6

Total, n = 36 Rolling a rum ater than greater iss (616),(516), C615),(4,0),(5,5),(6-4) count Rolling 9 - 6 6 PC Getting sum greater than o) 36 1 6 = 0.1667)

Answer 2

5/18 or 0.2778