Three ordinary dice are rolled. What is the probability that the results are all less than 5
Calculate individual die probabilities:
P(Die 1 < 5, Die 2 < 5, Die 3 < 5) = 2/3 * 2/3 * 2/3
P(Die 1 < 5, Die 2 < 5, Die 3 < 5) = 8/27
Calculate individual die probabilities:
- Die 1 P(x < 5) = 4/6 = 2/3
- Die 2 P(x < 5) = 4/6 = 2/3
- Die 3 P(x < 5) = 4/6 = 2/3
P(Die 1 < 5, Die 2 < 5, Die 3 < 5) = 2/3 * 2/3 * 2/3
P(Die 1 < 5, Die 2 < 5, Die 3 < 5) = 8/27