What is the sample space of the sum of two 6-sided die where the first number is less than 4?
To determine the sample space of the sum of two 6-sided dice where the first number is less than 4, we can list all the possible outcomes.
The possible outcomes for the first die are 1, 2, and 3. The possible outcomes for the second die are 1, 2, 3, 4, 5, and 6.
Therefore, the sample space consists of the following outcomes:
- (1,1)
- (1,2)
- (1,3)
- (1,4)
- (1,5)
- (1,6)
- (2,1)
- (2,2)
- (2,3)
- (2,4)
- (2,5)
- (2,6)
- (3,1)
- (3,2)
- (3,3)
- (3,4)
- (3,5)
- (3,6)
So the sample space of the sum of two 6-sided dice where the first number is less than 4 is {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6)}.