Card Game

[jasonHoldEm]

Given: <ul type="square">[*]One standard deck of 52 cards[*]One new car*[*]51 other people[*]You[/list]
Problem #1

Everyone lines up (the first person in line is player 1, second is player 2, etc). Player 1 selects a card from the deck of 52, if it's the ace of spades he wins the car. If player 1 is unsuccessful his card is discarded and player 2 will now select a card (from a deck of 51), this process will continue until someone pulls the ace of spades and wins the car.

Where do you want to stand in line to maximize your chance of winning the car?

Problem #2

Everyone lines up again. Player one goes to the deck and selects one card, if it is the ace of spades he wins the car, if not his card is replaced and the deck is reshuffled. Player two will now go to the deck and select TWO cards if either of them are the ace of spades he wins the car, if not his cards are replaced and the deck is reshuffled. This process continues where each player selects cards equal to their place in line (third person selects 3, fourth selects 4, etc).

Where do you want to stand in line to maximize your chance of winning the car?

(I'm not sure of the answer to the second problem. [img]/images/graemlins/crazy.gif[/img] )

Have fun, post your answers before you peek at anyone else's.

Peace,
J

* You won't actually win a car, this is just for fun.