Question

John and O'Neal are playing a board game in which they roll two number cubes. John needs to get a sum of 8 on the number cubes to win. O'Neal needs a sum of 11, if they take turns rolling the number cube, who is more likely to win? Explain.

Answer 1

Lets make a list
assuming they have 2 cubes with 1-6 on them
combos 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

and out of all of them (when you add them),
only 5 possible roles add up to 8
only 2 possible roles add up to 11
that means that if you rolled the max number of times, then 8 would come up 5 times, but 11 woule come up 2 times

so it is more probable to get an 8 than an 11