Answer:
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.
The Number of outcomes which represents the number of required outcomes for obtaining a sum of 5 is 4.
The sample space for rolling two number cubes cubes could be created in other to view the possibilities.
From the sample space attached, the different outcomes for obtaining a sum of 5 include :
Therefore, there are four possible outcomes for Event E which is the sum of 5 from two die roll.
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