Question

Two number cubes are rolled for two separate events: Event A is the event that the sum of numbers on both cubes is less than 10. Event B is the event that the sum of numbers on both cubes is a multiple of 3. List the members of the sample space for event A.

a) (1,1), (1,2), (1,3), (2,1), (2,2), (3,1)
b) (1,2), (2,1), (2,2), (3,1), (3,2), (4,1)
c) (1,2), (1,3), (2,1), (2,2), (3,1), (3,2)
d) (1,3), (2,2), (2,3), (3,1), (3,2), (4,1)

Answer 1

The members of the sample space for event A are (1,1), (1,2), (1,3), (2,1), (2,2), (3,1).

Step-by-step explanation:

The sample space for the two number cubes can be determined by listing all the possible outcomes. Since each cube has 6 sides, there are a total of 6 x 6 = 36 possible outcomes.

To find the members of the sample space for event A, we need to consider the outcomes where the sum of numbers on both cubes is less than 10. These outcomes can be determined by looking at the pairs of numbers that satisfy this condition:

1. (1,1)
2. (1,2)
3. (1,3)
4. (2,1)
5. (2,2)
6. (3,1)

Therefore, the members of the sample space for event A are (1,1), (1,2), (1,3), (2,1), (2,2), and (3,1). The correct option is a).