Suppose we roll 3 fair dice.

Question

i) Determine the amount of outcomes in the sample space.

ii) Determine the probability of rolling a triple (all three faces are the same).

Answer 1

(i) Each die has 6 outcomes, so three dice combine: 6³=216.

(ii) There are 6 possible same-score outcomes 111, 222, 333, 444, 555, 666, out of 216 outcomes altogether. Probability is 6/216=1/36=2.78% approx.