I randomly shuffle a deck of cards, then start turning over the cards one at a time.  You stop me at a time of your choice.  If the next card (the one on top of the remaining deck) is red (hearts or diamonds), then you win, otherwise you lose.  (If you never stop me, you lose.)

Prove or disprove: there is a strategy that you can follow so that you will win with probability GREATER THAN 50% (assuming the deck is randomly ordered at the start).