Math153-DB1,DDH Name(s): _________________________________________

10/05 _______________________________________________

_______________________________________________

Project 7: (10 points)

Due: on or before Friday, October 21, 2005.

You are the owner of a casino and are creating a new game. Your objective is to draw people to your casino AND make money.

1) Choose a type of different-shaped dice: tetrahedral dice (4 sides each die), octahedral dice (8 sides each die), dodecahedral dice(12 sides each die) or icosahedral dice (20 sides each die). Create a game of win or lose.

(For example, a customer wins if the numbers on the dice multiplied together are 3.)

a) How much does the customer need to pay to play? _____________

b) The customer wins if___________________________________________________
_______________________________________________________________________

_______________________________________________________________________

c) The customer gets $___________________ if he/she wins.

d) Complete the chart below to find the Expected Value of this game. The random variable x is the net amount the customer could win or lose in a game.

x P(x) x P(x)

Win

Lose

e) The Expected Value of the game (from the customer’s point of view) is ________________