Question

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 3? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

Sample space =S=

(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)

Event =E=rolling a sum less than 3

={(1,1) }

Therefore,