Toss in a 5% or 10% WTF! factor and it still looks pretty grim for our hero...

5,940 games 0.005 secs 1,188,000 games/sec

Board: 6c Jh 7s
Dead:

equity (%) win (%) tie (%)
Hand 1: 04.3434 % 04.34% 00.00% { 6d6h }
Hand 2: 95.6566 % 95.66% 00.00% { JJ, 77, 76s }