Math153 Name(s): _________________________________________

3/06 _______________________________________________

_______________________________________________

Project Extra Credit 1: (10 points)

Due: on or before Friday, March 31, 2006.

A new game is created at a casino. The game uses fair dodecahedral dice (12 sides each die). You win if the numbers multiplied on the two dice are 8. It costs $1 to play, and you get $30 if a product of 8 occurs.

(4 points)

a) What is the probability of rolling two fair dodecahedral dice and getting a product of 8?

(6 points)

b) See me after class to see how to do this. You will find the expected value of the 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 in one game

Lose in one game

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

The expected value is the amount you can expect to win/lose on average per game in the long run.