For a Hypergeometric Distributiongame There are 15 marbles in a bag, 7 of which are red. The objective is to draw 4 marbles without replacement.

If you draw;

0 Red= 30 points

1 Red= 10 points

2 Red= 0 points

3 Red= 20 points

4 Red= 50 points

The game cost 10 points to play.

Create the Probability distribution table in a spreadsheetwhere X is a random variable representing the points won.Calculate the expected value and compare to the 10 points it costs to play the game. Create the bar graph in a spreadsheet as well.

Compare the method of calculating expected value with the table to the formula for Hypergeometricpresented in this activity. What are the pros and cons of each?

Create your own Games Fair game with 4 or more outcomes using a Hypergeometric situation and adjust the point values so that a cost of 10 points would make the game profitable.