## anonymous one year ago 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?

1. mathstudent55

When you roll one die, what outcomes can you have?

2. anonymous

6

3. mathstudent55

The total is 6. The different outcomes are: 1, 2, 3, 4, 5, 6

4. Shikamaru11

well one dice has 6 sides so numbered from 1-6 so the outcome is from 1-6??? isn't it

5. mathstudent55

When you roll 2 dice, each of the two dice can have those 6 outcomes. That means the total number of outcomes of rolling two dice is 6 * 6 = 36.

6. Shikamaru11

yupxxx that's rite :) (y) @mathstudent55 :)

7. mathstudent55

We can write a table showing all the combinations of outcomes. |dw:1444312559555:dw|

8. mathstudent55

The figure above shows the table that we will fill out soon. We have die A and die B. Each die can have outcomes from 1 to 6. There are 36 combinations. Now, I'll fill out the table.

9. mathstudent55

|dw:1444312722684:dw|

10. mathstudent55

Each square with two a two-digit number shows an outcome. The first number shows die A, and the second number shows die B. For example, 42 means die A is 4 and dies B is 2.

11. anonymous

this is to much explaining i just needed the answer thanks though

12. mathstudent55

Now all we need to do is find each outcome of the two dice that has a total of 5.

13. mathstudent55

|dw:1444313101866:dw|

14. mathstudent55

The circled outcomes have a total of 5. How many are there?