Physics 3333

Homework Set 1

Due Sept. 13, 1999

email to: phcox@tamuk.edu

You are employed by a game room operator, who has an idea for a new game. A target is set up and the competitor is given a dart, which is thrown so that it sticks in the board. The target is a chessboard pattern, with prizes indicated in the various squares, as follows:

One square	Win $1000.
8 adjacent squares	Win $1.
16 squares around those	Win $2.
Remaining 39 squares	Win $5.

You are to calculate the expected value of playing this game, assuming the dart position is uniformly random.

(The actual charge to a player who wants to play will be this value, plus adjustment for good throwers, plus owner?s markup.)