Card Game

A casino offers a simple card game. There are 52 cards in a deck with 4 cards for each value $2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A$. Each time the cards are thoroughly shuffled (so each card has equal probability of being selected). You pick up a card from the deck and the dealer picks another one without replacement. If you have a larger number, you win; if the numbers are equal or yours is smaller, the house wins.

Question : What is your probability of winning?