Question

Two dice are rolled simultaneously. Find the probability of (a) getting a total of 11. (b) getting a sum greater that 11 (c) getting a multiple of 2 on one die and a multiple of 3 on the other. Select the correct answer from above options

Answer 1

N(S) = 36 Let A : sum is 11 = {(6, 5) (5, 6)) ⇒ n(A) = 2 (a) P(A) = n(A) n(S) = 2 36 = 1 18 (b) Let B = Sum> 11 = {(66)),n(B) = 1 P(B) = n(B) n(S) = 1 36 (c) Let C = multiple of 2 on one die & multiple of 3 on the other {(2, 3), (2, 6), (4, 3) (4, 6) (6, 3) (6, 6)} n(c) = 6 P(c) = 6 36 = 1 6 S = {HHH, HHT, HTH, THH TTH, THT, HTT, TTT}