SOCR EduMaterials Activities CoinDieExperiment

This an activity to explore the distribution of the die score (\( Y \)) when first a coin is tossed.

Open http://www.socr.ucla.edu/htmls/SOCR_Experiments.html and use the scroll bar to find the Coin Die Experiment. Once you find it, click on the About button and read about the experiment.

Answer the following questions:

a. There are two random variables (\( X, \ Y \)), one parameter (\( p \)) for the coin, and the probability distribution that governs each die (green or red) involved in this experiment. Describe what each one represents.

b. Choose fair coin (\( p = 0.5 \)), and fair dice (green and red). Perform 100 runs, take a snapshot and comment.

c. Reset. Choose \( p=0.8 \), 1-6 flat for the green die, 3-4 flat for the red die. Construct the probability distribution of \( Y \), compute the mean of \( Y \), and the standard deviation of \( Y \). Verify that they agree with the ones in the applet.

d. Reset. Choose \( p=0.2 \), green fair die, 2-5 flat for red die, perform 100 runs, take a snapshot and comment.