Question

On a single roll of a pair of dice, what are the odds against rolling a sum of 11?

Answer 1

`17/18`

Explanation:

When throwing a pair of dice there are `6xx6 = 36` different combinations that we can get.

Bear in mind that, if for example one is blue and one is red,
`color(red)(5)+color(blue)(2)` is not the same as `color(red)(2)+color(blue)(5) " "`(although both add to 7.)

There are 2 ways of scoring 11: `rarrcolor(red)(5)+color(blue)(6)` or `color(red)(6)+color(blue)(5)`

The odds for scoring 11 are therefore `2/36`
so the odds against scoring 11 are `34/36 = 17/18`