In a game, 45 marbles numbered 00 through 44 are placed in a box. A player draws 1 marble at random from the box. Without replacing the first marble, the player draws a second marble at random. If the numbers on both marbles drawn have a sum greater than 45 (that is, the sum of Marble 1 and Marble 2 exceeds 45), the player is a winner. If the first marble Martin draws is numbered 17, what is the probability that Martin will be a winner on the next draw?