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Reverse implied odds: when hitting still loses

Some cards that make your hand make a better one for the opponent. That is a cost, and it is measurable.

6 minute read

Reverse implied odds are the mirror image: money you lose on later streets when you make your hand and it is second-best. The eight-high flush against the ace-high flush. Bottom two pair against a set. The straight on a board that also completes a flush.

You can see the shape of it directly. Below, a flush draw against a set: the hearts that complete the flush also give the set a full house on ten of forty-four rivers — those are the outs that come with reverse implied odds attached.

Your hand
Board
Opponent
Opponent

Every possible turn card

Click a card to deal it and see the rivers.

Computing every runout…

Deal a heart on the turn. The rivers that pair the board turn the tile red: you made your flush and still lose the pot, usually a big one.
  • Weak flush draws (the 8♥ 6♥ kind) have reverse implied odds against bigger flush draws.
  • Small pairs on high boards have them against overpairs when they make two pair.
  • Straights on two-tone boards have them against flushes.
  • The stronger and more hidden your draw, the more the implied odds run in your favour; the weaker and more visible, the more they run against you.

Quick check

Why does a nut flush draw have better implied odds than a nine-high flush draw, even though both have nine outs?

Show answer

When both hit, the nut draw wins the extra money; the nine-high draw can lose it to a higher flush. Same probability, opposite sign on the future money.