A person rolls a regular 6-sided die twice and the result of the experiment is the sum of the numbers. If event E is a sum less than 7, then find the set representing E. Give your answer as a set, e. g. {1,2,3}, and do not include E = in your answer.

{2,3,3,4,4,4,5,5,5,5,6,6,6,6,6}

Step-by-step explanation:

The possible results of the experiment is as shown in the table below. The first sets of numbers (1 to 6) are the possible outcomes each time the die is rolled while the other numbers are the sums of the possible outcome when the die is rolled twice.

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

From the table above, the possible sums of numbers below 7 are 2,3,3,4,4,4,4,5,5,5,5,6,6,6,6,6. Therefore, If event E is a sum less than 7, then the set representing E is {2,3,3,4,4,4,5,5,5,5,6,6,6,6,6}