[Notorious G.O.B.]

Okay, I did the rough math for you, here you go:

about 12.7% of the time, you catch one card, than proceed to improve to a pat hand on the next draw.
about 9.1% of the time, you catch one card on the first round don't improve on the next round, then catch it on the river.
about 8% of the time, you catch nothing on draw one, catch one card on draw 2, and make it on the river.
about 3.08 % of the time you draw two perfect cards and are pat after the first round.
And about 1.75% of the time, you catch nothing on the first draw, then make a pat hand on the second draw. I decided not to include the odds of catching nothing on the first and second draw, and making on the river, since it doesn't seem like you'd ever make it that far. So that all adds up to about 34.63%, which seems about right to me, I guess. Someone want to check this over, I know it isn't exact, btw.