Quote Originally Posted by overflow
2 card Gutshots:
98x but no QJ7, 97x but no J85, 87x but no 954.
(3)((12/50)(8/49)(36/48) + (12/50)(37/49)(8/48) + (38/50)(12/49)(8/48) ) = 0.2718 = ~27.2%

So I get 33%
You're double-counting possibilities here, not excluding enough cards to keep the sets disjoint.