Question

Two fair number cubes are rolled. The table below shows the possible outcomes for each number cube and their sum.

+ 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

What is the theoretical probability of rolling two numbers with a sum less than 6?

Answer 1

6/36 or 1/6 either answer is correct. but you must show your workings for 6/36

Explanation:

We look at the data within each line that shows 1,2,3,4,5,6 both horizontal shows match with vertical.

We count 10 possible outcomes that would show product of under 6 out of 36 events = 6/36

If it asks to simplify we see 6 divides into 6 and 36 = 1/6

Answer 2

The easiest method is to draw a possibility space first. The grid shows the totals for two dice. There are: 6×6=36 possible outcomes. Of these there are 10 totals which are less than 6.

Explanation:

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