Answer:
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.
