Question

Two dice are thrown simultaneously. Find the probability that the sum of two numbers appearing on the top is less than or equal to 10

Answer 1

Answer:

Sample space = 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

thus, there are 36 outcomes

no. of favorable outcomes(outcomes whose sum is equal to or less than 10) = 33

so, P(sum is less than or equal to 10) = 33/36=11/12