What is the sample space of the sum of two 6-sided dice where the first number is less than 4? List your values from smallest to largest
When the first number is less than 4 on a 6-sided die, the possible outcomes are 1, 2, or 3.
So the sample space of the sum of two 6-sided dice where the first number is less than 4 is as follows:
2 (1+1)
3 (1+2, 2+1)
4 (1+3, 3+1, 2+2)
5 (1+4, 2+3, 3+2, 4+1)
6 (1+5, 2+4, 3+3, 4+2, 5+1)
7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)
8 (2+6, 3+5, 4+4, 5+3, 6+2)
9 (3+6, 4+5, 5+4, 6+3)
10 (4+6, 5+5, 6+4)
11 (5+6, 6+5)
12 (6+6)