Question

If a dice is thrown thrice, then the probability of throwing a sum of 10 is

• A. ¼
• B. ½
• C. 1/6
• D. 1/8

Answer 1

Answer: (D)

1/8

Answer 2

N(S) = 6³ = 216

Let E be the event of throwing 10.

E = {(1,3,6), (1,4,5), (1,5,4), (1,6,3), (2,2,6), (2,3,5), (2, 4, 4), (2, 5, 3), (2,6,2), (3,1,6), (3,2,5), (3,3,4), (3,4,3), (3,5,2), (3,6,1), (4,1,5), (4,2,4), 4,3,3), (4,4,2), (4,5,1), (5,1,4), (5,2,3), (5,3,2), (5,4,1), (6,1,3) (6,2,2), (6,3,1)}

N(5) = 27.

P(5) = $\frac { 27 } { 216 } = \frac { 1 } { 8 }$.