1. the bag contains 4 cubes of each colour
2. the bag contains 6 red cubes and 2 green cubes
3. the bag contains 2 red cubes and 6 green cubes
4. the bag contains 8 red cubes
Your task is to develop a strategy for guessing which of the four possible situations is true.
Before you guess, you are allowed to conduct one of the following sampling procedures to gain partial information about the contents of the bag:
(1) Draw 2 cubes, look at them and remember them. Return them to the bag. Repeat this twice more.
(2) Draw 3 cubes, look at them and remember them. Return them to the bag. Repeat this once.
(3) Draw 1 cube, look at it and remember it. Return it to the bag. Repeat this seven more times.
In each case, it is safe to assume that the cubes are well-mixed in the bag at all times.
Click on one of the links here when you have decided which sampling strategy you wish to use.
(1) Draw 2 and return them to the bag. Repeat twice more.
(2) Draw 3 and return them to the bag. Repeat.
(3) Draw 1 and return it to the bag. Repeat seven more times.