Lucy has a deck of 10 cards numbered 1 through 10. She is playing a game of chance. This game is this: Lucy chooses one card from the deck at random. She wins an amount of money equal to the value of the card if an odd numbered card is drawn. She loses $6 if an even numbered card is drawn. (a) Find the gpected value of playing the game. I] dollars (b) What can Lucy expect in the long run, after playing the game many times? (She replaces the card in the deck each time.) 0 Lucy can expect to gain money. She can expect to win I] dollars per draw. 0 Lucy can expect to lose money. She can expect to lose [I dollars per draw. 0 Lucy can expect to break even (neither gain nor lose money)