Sunday Times Teaser 2768 – In the Bag

by Richard England

I put some snooker balls (from 15 red and 7 of other colours) into a bag and then randomly removed three of these balls.

It turned out that the chance of these balls all beI put some snooker balls (from 15 red and 7 of other colours) into a bag and then randomly removed three of these balls.ing red or none being red were each one in a whole number. The former was less likely.

How many balls were in the bag and how many of these were red?