Dice Experiment

Equipment: 1 green die, 1 black die, 1 white die

Outcome: an understanding of what the procedures for Assignment 2 should
  accomplish

Method:

At each step, you should be thinking about how to simulate the
experiment in a computer program.

1. Choose a number n for the number of throws of the dice (30 - 40
   for the lab exercise)

2. Throw the dice n times, and on each throw record the number on the
   green, black, and white dice.

3. For each of the n throws calculate the sum of the three dice.
   Question: What are the possible values this sum can take on?

4. Determine the number of times you had triples (same number on
   all dice) in your experiment.

5. Determine the number of times that the dice were all different.

6. Determine the number of times the green die had a value greater
   than the black die, equal to the black die, less than the black die.
   
7. Find the number of times each possible value of the three-dice sum 
   occurred in your experiment.

Optional questions to think about:

8. How many times were there exactly two dice with the same number?

9. On the occasions that the green die had a greater value than the
   black die, how many times did it also have a value greater than the
   white die?

10. If the dice are fair (unbiased) how many times is each number
    (1 - 6) expected?  Do your dice appear 'fair'?  How could you
    get a better idea of whether they are fair?

11. If the dice are fair what are the expected results for
    steps 4, 5, and 6?  Was your experiment 'consistent' with
    the expected results?