Deshaun has a deck of 10 cards numbered 1 through 10. He is playing a game of chance.

Question

This game is this: Deshaun chooses one card from the deck at random. He wins an amount of money equal to the value of the card if an even numbered card is drawn. He loses $3.50 if an odd numbered card is drawn.

A) Find the expected value of playing the game.

(b) What can Deshaun expect in the long run, after playing the game many times?
(He replaces the card in the deck each time.)

A. Deshaun can expect to gain money.
How much per draw?
B. Deshaun can expect to lose money.
How much per draw?
C. Deshaun can expect to break even (neither gain nor lose money).