Kevin is rolling two dice together and adding them up. Which sums should come up the most frequently?

7 occurs most frequently.

Step-by-step explanation:

If we roll two dice, we do get sample space as

(1,1) = 1+1 =2        (4,1)=4+1=5

(1,2)= 1+2 =3        (4,2)= 34+2=6

(1,3)= 1+3=4         (4,3)= 4+3=7

(1,4)=1+4=5          (4,4)= 4+4=8

(1,5)=1+5=6          (4,5)= 4+5 =9

(1,6)=1+6=7           (4,6)= 4+6=10

(2,1)= 2+1=3          (5,1)= 5+1=6

(2,2)=2+2=4         (5,2)=5+2 =7

(2,3)= 2+3=5        (5,3) =5+3=8

(2,4)=2+4=6         (5,4) =5+4 =9

(2,5)=2+5=7          (5,5)=5+5=10

(2,6)=2+6=8          (5,6)=5+6=11

(3,1)=3+1=4            (6,1)= 6+1=7

(3,2)=3+2=5          (6,2)=6+2=8

(3,3)=3+3=6           (6,3)=6+3=9

(3,4)=3+4=7           (6,4) =6+4 =10  

(3,5) =3+5=8          (6,5)=6+5=11

(3,6)=3+6=9            (6,6)=6+6=12

2 occurs for 1 time

3 occurs for 2 times

4 occurs for 3 times

5 occurs for 4 times

6 occurs for 5 times

7 occurs for 6 times

8 occurs for 5 times

9 occurs for  4 times

10 occurs for 3 times

11 occurs for 2 times

12 occurs for 1 time.

So, 7 occurs most frequently.

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step-by-step explanation:

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