Skip to content
doubtly

Write S, n(S) and events A, B, C with n(A), n(B), n(C): Two dice are rolled simultaneously. A: sum of digits on upper faces is a multiple of 6. B: sum is minimum 10. C: same digit on both upper faces.

Write sample space 'S' and number of sample point n(S) for each of the following experiments. Also write events A, B, C in the set form and write n(A), n(B), n(C).

(2) Two dice are rolled simultaneously,
Event A : The sum of the digits on upper faces is a multiple of 6.
Event B : The sum of the digits on the upper faces is minimum 10.
Event C : The same digit on both the upper faces.

1 answer

Answer: n(S) = 36; n(A) = 6; n(B) = 6; n(C) = 6

S = {(1,1), (1,2), ..., (1,6), (2,1), ..., (2,6), ..., (6,1), ..., (6,6)}, i.e. all ordered pairs (x, y) with x, y from 1 to 6, so \(n(S) = 6 \times 6 = 36\).

A: sum is 6 or 12.
A = {(1,5), (2,4), (3,3), (4,2), (5,1), (6,6)}, n(A) = 6

B: sum is 10, 11 or 12.
B = {(4,6), (5,5), (6,4), (5,6), (6,5), (6,6)}, n(B) = 6

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

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report
Was this answer helpful?

Your answer

Log in or create a free account to answer this question.