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Two 6-sided dice are rolled at the same time. How many outcomes correspond to the event that the sum of the numbers is 5?

2 Answers

6 votes
4 outcomes
1,4
2,3
3,2
4,1

Hope this helps.
6 votes

Answer:

4 outcomes

Explanation:

Two 6-sided dice are rolled at the same time.

Possible outcomes are

(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)

we look at the pairs that has sum 5

1+4 = 5

2+3= 5

3+2=5

4+1= 5

The outcomes that has sum 5 are (1,4) (2,3)(3,2) and (4,1)

so 4 possible outcomes that has sum 5

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