Building the EasyPoker app means we field a lot of questions about which hands beat which in Texas Hold’em, and this one comes up more than any other: does three of a kind beat two pair? It’s usually phrased with some indignation – “how does three 3s beat my kings and jacks?” – and it trips up a surprising number of players.
The short answer: three of a kind always beats two pair, no matter the cards. Three deuces beat aces and kings. The reason is entirely about how often each hand shows up.
It’s in the Math
This might sound dull if you’re not a mathematician, but it really is just arithmetic. Poker’s hand rankings aren’t arbitrary – they’re ordered by how hard each hand is to make.
A strong hand is simply a rare one. The rarer the hand, the higher it ranks – that’s the whole system. The best hand in Hold’em is the royal flush, at 649,739 to 1 against, or a probability of 0.000154%. At the other end, your chance of finishing with a pair or better is 49.9%.
Those percentages are cumulative, meaning “this hand or anything better”, which is the standard way of comparing hand strength. So far so good.
Three of a Kind vs. Two Pair
It sounds wrong that three 2s beat a pair of aces and a pair of kings, but the numbers are clear. From a standard 52-card deck, dealing five cards:
- Two pair – you’ll make exactly two pair 4.75% of the time, roughly 20 to 1 against. Counting two pair or better, 7.62%.
- Three of a kind – exactly three of a kind comes in at 2.11%, roughly 46 to 1 against. Counting three of a kind or better, 2.87%.
Measure it either way, exactly or cumulatively, and three of a kind is the rarer hand – roughly twice as hard to make. Rarer hand, higher rank. That’s the entire reason, and it doesn’t depend on which cards make up either hand.
Bring that to your next poker night and you can settle the argument before it starts.
Complete Poker Hand Ranking Guide
For the full picture, our complete poker hands ranking guide covers every Hold’em hand from high card to royal flush, and our glossary explains the vocabulary that goes with them. New to the game entirely? Start with how to play poker.
Let EasyPoker Run Your Poker Games
EasyPoker connects friends and family through poker. It lets you set up a home game in seconds, and because the app deals the cards and works out who won, nobody has to adjudicate a trips-versus-two-pair argument at the table. It works whether you’re all in the same room or spread across the country.
Three of a Kind vs Two Pair FAQ
Does three of a kind beat two pair?
Yes, always. Three of a kind beats two pair regardless of which cards make up either hand, so three 2s beat a pair of aces and a pair of kings. The rule never changes and there is no situation in Texas Hold’em where two pair outranks trips.
Why does three of a kind beat two pair?
Because it’s rarer. Poker hands are ranked by how hard they are to make, and from a 52-card deck you’ll make exactly three of a kind about 2.11% of the time against 4.75% for exactly two pair – roughly half as often. Rarer hand, higher rank.
What are the odds of making three of a kind?
About 2.11% in a five-card hand, or roughly 46 to 1 against. Counting three of a kind or anything better, the cumulative figure is 2.87%. Two pair is far more common at 4.75%, or about 20 to 1 against.
Can two pair ever beat three of a kind?
No. The only thing that changes between hands of the same rank is the tiebreaker: two pair against two pair is settled by the highest pair, then the second pair, then the kicker. But two pair never beats trips, whatever the cards.
Which poker games can you play on EasyPoker?
EasyPoker deals Texas Hold’em, Omaha, Short Deck (6+) and Reverse Hold’em. Reverse Hold’em is our own variant, where the river is dealt first and the flop comes last. Worth knowing that Short Deck changes the rankings, because with the low cards removed a flush beats a full house and three of a kind beats a straight.