Question

A die has its six faces marked 0, 1, 1, 1, 6, 6. Two such dice are thrown together and the total score is recorded. What is the probability of getting a total of 7?

Answer 1

Given, a die has its six faces marked {0, 1, 1, 1, 6, 6}

∴ Total sample space, n(S) = 6² = 36

Let E = Event of getting a sum 7

= {(1, 6), (1, 6), (1, 6), (1, 6), (1, 6), (1, 6), (6, 1), (6, 1), (6, 1), (6, 1), (6,1), (6,1)}

∴ n(E) = 12

∴ `P(E) = (n(E))/(n(S)) = 12/36 = 1/3`