Consider rolling two number cubes, each of which has its faces numbered from 1 to 6. The cubes will be rolled and the sum of the numbers landing face up will be recorded. Let the event E represent the event of rolling a sum of 5. How many outcomes are in the collection for event E?

There are 4 outcomes out of 36 whose sum is 5.

Step-by-step explanation:

Consider the provided information.

Rolling two number cubes, each of which has its faces numbered from 1 to 6. The cubes will be rolled and the sum of the numbers landing face up will be recorded.

The number of outcomes are 36.

Sample Space of Rolling a Pair of Dice is shown below:

(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)

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

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

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

Let the event E represent the event of rolling a sum of 5.

The required number of outcomes are: (1, 4), (2, 3), (3, 2) and (4, 1).

Hence, there are 4 outcomes out of 36 whose sum is 5.