Question

You are given a bag with 18 marbles, which you are not allowed to see it’s content. In the bag, there is at least one red, at least one blue, and at least one white. Knowing only this information, you are tasked to give each child a bag with a different collection of marbles, how many children can you guarantee to prepare bags for ? Explain with detail reasoning.

Answer 1

It is obvious that two type of bags can be made anyway. Now show this possibility;assume we have 8 blue, 5 white and 5 red marbles. We take 3 blue marbles for the first, and 1 red, 1 white, 1 blue marbles for all the others. This event has nonzero
probability and only two types of bags with marbles are obtained.