HesapHanem

Poker Outs Calculator

Enter your number of outs and the current street.

Result

35.0%
36%
9 outs (47 unseen)

How it is calculated

With your two hole cards and the board you can see, 52 − 2 − 3 = 47 cards are unseen on the flop and 46 on the turn. The exact chance of hitting at least one out is one minus the chance of missing with every card still to come. On the flop two cards are to come: P = 1 − C(47 − outs, 2) ÷ C(47, 2). On the turn one card is to come: P = 1 − (46 − outs) ÷ 46. The tool also shows the rule of 2 and 4 estimate, outs × 4 on the flop or outs × 2 on the turn. Outs must be at least 1 and below the number of unseen cards; decimals are rounded. It assumes your outs are all clean, with no shared outs or opponents' cards, and it does not measure whether hitting wins the pot.

Worked example

You hold a flush draw with 9 outs after the flop. Step 1: unseen cards = 47, with two to come. Step 2: probability of missing both = C(38, 2) ÷ C(47, 2) = 703 ÷ 1,081 = 0.650. Step 3: probability of hitting = 1 − 0.650 = 35.0%. Step 4: the rule of 2 and 4 gives 9 × 4 = 36%, about one point high. On the turn, the same 9 outs give 9 ÷ 46 = 19.6% exactly against 18% by the rule of 2. The tool labels the result 9 outs (47 unseen).

Try this example →

Common mistakes

  • Counting outs that also complete a better hand for an opponent, or that fail to improve you. Only cards that really make you the winner are outs, so a draw that would also give an opponent a better hand is worth fewer outs.
  • Counting the same card twice. A card that completes both a straight and a flush is one out, not two.
  • Using the rule of 4 with many outs. At 15 outs the rule gives 60% but the exact value is 54.1%, so the shortcut overstates big draws.
  • Selecting the flop for a one-card situation. The flop setting assumes two cards still to come; if you will see only the river, use the turn setting.
  • Treating the figure as the chance to win the hand. It is the chance to hit your out, not that the hand wins at showdown.

About this calculator

In Texas Hold'em, your outs are the number of unseen cards that would improve your hand to a likely winner — for example, needing one of nine remaining hearts to complete a flush. Converting outs into an actual probability of hitting depends on how many cards are left to come: with two cards left to see (after the flop), the exact odds differ from having just one card left (after the turn), because the number of unseen cards in the deck shrinks.

This calculator takes your number of outs and current street and returns the exact probability of hitting your hand, alongside the well-known rule of 2 and 4 — the mental-math shortcut of multiplying outs by 4 on the flop or by 2 on the turn to quickly estimate that same probability at the table. It's a core tool for poker players studying pot odds and equity calculations away from the table, where there's time to check the precise numbers behind the shortcut they use when actually playing.

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Comments (1)

  • Editorial team

    The exact figure treats every out as clean. A flush draw has 9 outs, but if the board is paired, a card that completes your flush may also give an opponent a full house, so you may want to discount some outs. The 2 and 4 shortcut also drifts on big draws: 20 outs on the flop is 67.5% exactly, while the shortcut says 80%. Which draws do you find hardest to count?

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