At the Craps Table

To start the game of Craps, two standard, six-sided dice are rolled by the player.  In Craps jargon, the person rolling the dice is called the “shooter” and the initial roll is called the “comeout.”   The result of the roll is simply the sum of the numbers shown on the two dice.  If the result is a 7 or an 11, the game is over and the player wins.  If the result is 2, 3 or 12, the game is over and the player loses.  If the result is a 4, 5, 6, 8, 9 or 10, it is called the point.  For example, if a 5 is rolled, 5 is declared the point.  Now the player rolls the two dice until either a 7 or the point (5 in this case) is rolled.  If a 7 appears first, the player loses and if the point appears first, the player wins.  Any roll except the point or a 7 is ignored and the player rolls again.   What is the probability of the player winning a game of Craps?