Probability die roll is 4 or less

Question

The teacher rolls 2 dice. What is the probability that the sum will be 4 or less?

Answer 1

There are 36 combinations of possible pairs of values for the rolls of two dice. Here is a table showing the possible sums:

1 2 3 4 5 6

1 2 3 4 5 6 7

2 3 4 5 6 7 8

3 4 5 6 7 8 9

4 5 6 7 8 9 10

5 6 7 8 9 10 11

6 7 8 9 10 11 12

6 of those sums are 4 or less so the probability is 6/36 = 1/6.