Which is more likely: rolling a total of 9 when two dice are rolled or rolling a total of 9 when three dice are rolled? Solution Answer : First we have to determine the probability of two die summing to 9. I began by calculating the sample space. There are 6 * 6 different ways the two die could sum. Now to figure out how many of those ways sum to 9. The favourable out comes are ( 3 , 6 ) , ( 6, 3 ) , ( 5 , 4 ) , ( 4 , 5 ) So the probability of rolling two dice which sum to 9 is 4/62 = 4/36 =1/9 , while rolling a 9 with three dice has the probability is [ 8C2 – 3]/63 = 25/216 which is greater Computing the probabilities I found that 25/216 > 1/9 . Therefore , Therefore, it is more likely with 3 dice..