Three of a Kind vs Straight: Which Wins?

A straight beats three of a kind in poker. A straight is five cards in sequence of mixed suits, like 9♥ 8♣ 7♦ 6♠ 5♥, while three of a kind (also called “trips” or a “set”) is three cards of one rank plus two unrelated cards, like K♣ K♥ K♠ 8♦ 3♠. The straight is the higher category, so it wins every time — even a lowly five-high straight beats three aces.

Where they sit on the ladder

The relevant slice of the rankings, top to bottom:

1. Flush
2. Straight — five cards in sequence
3. Three of a kind — three of one rank
4. Two pair
5. One pair

The straight sits one rung above three of a kind. There’s nothing between them, but the order is still fixed: the straight wins. For the complete ladder, see the hand rankings hub.

Why the straight wins: the combinatorics

Poker ranks by rarity — the harder a hand is to make, the higher it beats. Out of 2,598,960 possible five-card hands:

Three of a kind can be made 54,912 ways, but a straight only 10,200 ways. That makes the straight more than five times rarer than trips, which is exactly why it outranks it. See the count broken down at what is a straight in poker.

A worked hand

The board reads A♣ 8♦ 7♠ 6♥ 2♣.

• Player A holds A♥ A♦ → best five: A♣ A♥ A♦ 8♦ 7♠ = three aces (a set).
• Player B holds 9♠ 5♦ → best five: 9♠ 8♦ 7♠ 6♥ 5♦ = nine-high straight.

Player A flopped a set of aces, the strongest trips possible — yet Player B’s straight beats it. The straight is the higher category, so card values inside the trips never even matter. Player B wins.

Do card values ever flip this?

No. Category is compared first; individual card values only matter when both players share the same category. Because a straight and three of a kind are different categories, the answer is settled at “the straight is higher.” Three aces still lose to the smallest straight.

This mirrors the way three of a kind beats two pair but loses upward — each category is fixed relative to the ones above and below it. A straight also beats two pair, for the same reason.

Set over straight: the common mistake

The reason this matchup trips people up is that a set of trips — especially a hidden set flopped from a pocket pair — feels like a monster. And it usually is: a set stacks opponents holding top pair or two pair every day of the week. But the moment a straight is completed, your set is behind it. Players who overvalue sets on connected boards can pay off a straight for their whole stack.

Read the board texture before you commit. If the community cards are scattered and unconnected, your set is likely best. If three or four of the board cards run in sequence — think 8-7-6 or 10-9-8 — a straight is very much in the range of hands your opponent could hold, and your set drops to a bluff-catcher at best.

What three of a kind actually beats

To keep the whole picture straight, here’s everything three of a kind does beat, and what it doesn’t:

• Beats: two pair, one pair, and high card.
• Loses to: straight, flush, full house, four of a kind, straight flush, and royal flush.

So trips is a solid, middle-of-the-pack made hand. It’s strong enough to win most pots that reach showdown, but it’s never a lock — five different categories outrank it, and the straight is the very first one you’ll run into as you move up the ladder. Knowing exactly where it sits keeps you from overplaying it on the wrong board.

Quick summary of the matchup

• Straight beats three of a kind, always. Category decides before card values, so even the smallest straight tops the biggest set of trips.
• The gap is rarity. A straight is over five times harder to make than three of a kind.
• Board texture is the tell. Connected boards make straights likely; scattered boards keep your trips ahead.

Quick summary

• Winner: the straight, every time.
• Reason: 10,200 straights versus 54,912 sets of trips — the straight is over five times rarer.
• Card values: they don’t matter across categories; the higher category decides.
• Reversal: none. There is no version of poker’s core ranking where trips beat a straight.

Bottom line

Straight versus three of a kind is an easy one once you know the order: the straight wins, always, because it’s the rarer hand. Three of a kind only beats hands below it — two pair, one pair, and high card. Study the whole order at the hand rankings hub, read up on the straight, and take it to the Texas Hold’em felt.