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What are the odds of hitting trips with pocket pair?

Published in Poker Odds 2 mins read

When holding a pocket pair in Texas Hold'em, the odds of flopping trips (three of a kind) are approximately 12%, which translates to about 1-in-8.

Understanding Your Pocket Pair Odds

Having a pocket pair in Texas Hold'em offers a strong starting hand, but hitting trips on the flop significantly improves your hand's strength.

  • Flopping Trips: If you start with a pocket pair (e.g., 7♠7♦), the probability of seeing another 7 among the three community cards dealt on the flop, thus completing trips, is about 12%, or roughly 1 in 8 times. This is often referred to as "flopping a set" when you hit trips with a pocket pair.

It's also useful to know related probabilities that can influence your play:

  • Hitting at Least Trips After the Flop: If you have a pair on the flop (either a pocket pair that didn't hit trips, or you paired one of your hole cards with a community card), the chance of hitting at least trips by the river (on the turn or river) is about 8%, or approximately 1-in-12. This means your hand improves to trips or better as more cards are dealt.

Why These Odds Matter

Understanding these odds is crucial for effective poker strategy, particularly for a concept known as "set mining."

  • Set Mining: Players often "set mine" with small or medium pocket pairs. This strategy involves calling a small raise pre-flop with the intention of folding if you don't hit a set (trips) on the flop. The reason this strategy is viable is precisely because of the 1-in-8 odds of hitting your set. If the pot odds are good enough (meaning you can win a large pot relative to your call), it can be a profitable play.
  • Hand Strength Assessment: Knowing these probabilities helps you assess the strength of your hand and make informed decisions on whether to continue betting, raise, or fold. Flopping trips with a pocket pair usually puts you in a very strong position.

Key Odds at a Glance

Here's a summary of the odds related to hitting trips with a pocket pair:

Scenario Odds (Percentage) Odds (Ratio)
Flopping trips (a set) when holding a pocket pair 12% About 1-in-8
Hitting at least trips by the river after having a pair on the flop 8% About 1-in-12

These probabilities are fundamental for making strategic decisions in Texas Hold'em, helping players evaluate risk versus reward for their pocket pairs.