Note: Please do not post the answer immediately if you know the answer. I want the UTers to put their thinking caps on.

Given a deck of 100 cards where each card is uniquely identified by a number printed on the card (no range specified). Would you play this game?

The game:
I shuffle the cards and put them face down in front of you. You flip the cards face up one at a time and must say stop when you think the last flipped card has the highest value printed on it. I give you 5 to 1 odds.

Is this a fair game? What if I included 1000, or even 1,000,000 cards in the deck? What odds must I give you in order to convince you to play the game? What strategy would you use?