A henway simulation with 4 players and 1000 trials

Game Players
1 2 3 4

Rank # of Wins /
# of Occurances
Chance of
Occurance
Chance of
Winning
Chance of
being the
winning hand
Straight Flush 15/16 0.4% 93.8% 1.5%
Four of a Kind 52/53 1.3% 98.1% 5.2%
Full House 592/927 23.2% 63.9% 59.2%
Flush 212/690 17.3% 30.7% 21.2%
Straight 101/733 18.3% 13.8% 10.1%
Three of a Kind 6/69 1.7% 8.7% 0.6%
Two Pair 22/1371 34.3% 1.6% 2.2%
One Pair 0/138 3.5% 0% 0%
High Card 0/3 0.1% 0% 0%