Texas Hold'em

What is the EV of a nut flush draw on a paired turn?

AhKh on 2h-7h-9c-2s against an overpair: EV per dollar called at 3:1 pot odds, plus river flush outs.

The PQL query

select avg(case
    when winsHi(hero) then 3.0
    when tiesHi(hero) then 1.0
    else -1.0
  end) as ev_per_dollar,
  avg(outsToHandType(hero, turn, flush)) as river_flush_outs
from game='holdem',
     hero='AhKh',
     villain='JsJc',
     board='2h7h9c2s'

A case expression scores the runouts at 3:1 pot odds (win +3, chop +1, lose -1) to give EV per dollar called; outsToHandType(…, flush) counts the river flush outs.

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