Question

Two dice are rolled. What is the probability of scoring a double given that the sum on the two dice is less than 6?

Answer 1

Sum table

Total number of variants N = 36

A "double" means that two dice have the same number.

Positive combinations when the sum on the two double dice is less than 6: (1,1) and (2,2).

n=2

The probability of scoring a double given that the sum on the two dice is less than 6:

$P = \frac{n}{N}= \frac{2}{36}= \frac{1}{18}$

Answer: $\frac{1}{18}$