Two dice are rolled. What is the probability that the sum on the top face of both the dice will be greater than 9? Choose the correct choice from the following options
A) 3 / 8  B) 2 / 3  C) 1 / 2  D) 1 / 3  E) 1 / 6

Rationale: total number of outcomes possible when a die is rolled = 6 ( ∵ any one face out of the 6 faces ) hence , total number of outcomes possible two dice are rolled , n ( s ) = 6 × 6 = 36 e = getting a sum greater than 9 when the two dice are rolled = { ( 4 , 6 ) , { 5 , 5 } , { 5 , 6 } , { 6 , 4 } , { 6 , 5 } , ( 6 , 6 ) } hence , n ( e ) = 6 p ( e ) = n ( e ) / n ( s ) = 6 / 36 = 1 / 6
Answer: E