Odds for pairs, trips, and quads

Odds For The Following Events

Being Dealt

Event Odds Against %
AA 220 to 1 0.45%
AK suited 331 to 1 0.30%
AK offsuit 110 to 1 0.90%
Ax offsuit 5.25 to 1 16%

After Being Dealt A Pocket Pair

Flopping Trips or better 7.5 to 1 11.76%
Flopping Trips 8.3 to 1 10.75%
Flopping A Full House (Boat) 136 to 1 0.73%
Flopping 4 of a kind 407 to 1 0.24 %
Trips or better by the river 4.2 to 1 19.23%

Please note that trips or better by the river includes other opponents beating you with a better hand. You may make trips on the river but they may make 4 of a kind. Flopping a full house doesn’t put you in winning shape either. Your opponent may have flopped a better full house (example. you hold 77 flop comes 7AA. Your opponent holds A7. Best example of this would be the opening scene in Rounders.) Flopping 4 of a kind is the only hand on the list that ALMOST guarantees victory but could lose to a straight flush if you play too slow and allow your opponent to beat you (4 Jacks lost to one of our editors’ Royal Flush on the river)

Big Slick

Catching either A or K on flop 2.08 to 1 32.47%

Holding 2 Unsuited Non Paired Cards You Will Flop (using 1 or more hole cards)

At least a pair 2.1 to 1 32.47%
A pair 2.5 to 1 28.57%
2 pair (both hole cards) 49 to 1 2%
2 pair (1 hole card) 24 to 1 4%
Trips 73 to 1 1.35%
Boat 1087 to 1 0.09%
4 of a kind 9799 to 1 0.01%

Odds of Flop Being

Trips 424 to 1 0.24%
1 Pair 5 to 1 16.67%

% Your Opponents Do Not Have An Ace Preflop

Opposition You No Ace You 1 Ace
2 72% 88%
3 60% 77%
4 50% 68%
5 40% 59%
6 34% 50%
7 27% 43%
8 22% 36%
9 17% 31%
10 13% 25%

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