"What's In the Bag?"
The bag at the front of the room contains 8 blocks. The blocks are one of two different colors. Either the bag contains four blocks of one color and four blocks of the other, or there are 6 blocks of one color and 2 of the other.
Your job is to determine how one of the following experiments could best help you to choose which case is true. You may choose only one experiment, and for that experiment, you must determine what criteria you will use to decide whether the colors are divided 4 and 4, or 6 and 2.
The possible experiments you can choose from are:
Experiment 1:
You may select one block at a time, look at it and then replace it in the bag. You may repeat this test 8 times.
Experiment 2:
You may select 2 blocks at a time, look at both of them and replace them in the bag. You may repeat this test 3 times.
Experiment 3:
You may select 3 blocks at a time, look at them and replace them in the bag. You may only do this test once. Whatever experiment you choose, come up with a list of the possible results and how you will interpret them. Prepare a complete, unambiguous algorithm which will then be applied to actual results.