Question

A standard pair of 6 sided dice is rolled. What is the probability of rolling a sum less than or equal to 6?

Answer 1

A standard pair of 6 sided dice is rolled.

Hence we get outccomes as :

{ (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) }

There are total 36 outcomes.

Number of outcomes which has sum less than o equal to 6 are

{ (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4),  (3,1), (3,2), (3,3),(4,1), (4,2), (5,1) }

So this number is 15

Hence  the probability of rolling a sum less than or equal to 6