Draw odds

Backdoor flush draw: the runner-runner odds

Three cards of a suit on the flop. You need two more in a row. It almost never comes, but it is not nothing, and it is worth knowing exactly how much it is.

You
Three spades: two in your hand, one on the board.

Work it out

You hold A6. The flop is K94.

  • A suit has 13 cards. You can see 3 spades, so 10 are left in the unseen cards.
  • The turn has to be a spade: 21.3%.
  • Then the river has to be one of the spades still left: 19.6%.
  • Both together: 45 of the 1081 ways to deal the turn and river. That is 4.2%.

Worth about one out

One out, with two cards to come, hits 4.3% of the time. A backdoor flush draw hits 4.2%. So when you add up your outs on the flop, a backdoor flush draw counts as about one more. A backdoor flush draw and a backdoor straight draw together are worth about two outs, and two outs hit 8.4%.

That is only true when you will see both cards. If he bets the turn and it is not a spade, the draw is dead. With one card to come, a backdoor draw is worth nothing.

Why it still matters

What it is not: a reason to call a big bet on its own. Ace-high with a backdoor flush draw is still ace-high.

Other draws

Off the Felt drills the counting until small things like this are part of the count.

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