an experiment consists of rolling two fair dice and adding the dots on the two sides facing up assuming each simple event is as likely as any other find the probability that the sum of the dots is greater than 2

35/36

Step-by-step explanation:

Sample space = S

n(S) = 36

Event of obtaining sum greater than 2, = A

Event of obtaining sum less than 2, B =( 1, 1)

n(B) = 1  

Probability of obtaining sum less than 2, P(B) = n(B)/n(S) = 1/36

n(A) = 36 - 1 = 35

∴ Probability of obtaining sum greater than 2, P(A) = n(A)/n(S) = 35/36