bet sizing when holding the out

[cairpre]

you are heads up on the river in NL hold'em. You put your opponent on the draw for a flush. He thinks he has 9 outs.
But you hold 1 card in his flush suit. So he really only has 8 outs. I understand 9 outs is 19.6%, and 8 is a 17.4%.
How would you adjust bet sizing to best take advantage of the differnce. Or is it actually not significant enough?
Well I can see you would price it about 2% higher. I, still a novice, really want to know if this is actually useful in practice.

[jstill]

just dont give him the expressed odds to call either way and dont pay off when he hits and you've done fine theorectically.

If ur gonna pay off when he hits dont give him the implied odds.

so basically if you know if your opponent will call if you give him breakeven pot odds with implied odds for his flush with 9 outs give him those odds exactly and he ll be making a losing play since he ll only have 8 outs (works when u have a set as well as one of his flush outs since if he hits a flush card that pairs the board thats no good)...

this questions kind of weird though becuz ur generally putting a player on a range of hands not exactly a draw, though live tells sometimes you can definitely weight his range strongly in that direction, either way though the general concept is just dont give him the implied odds, either by betting large enough or getting away from the hand if it hits on the river, easier in position of course, so bet more out of position probably.

[JocK]

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Well I can see you would price it about 2% higher.

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This seems incorrect. Ignoring further betting and assuming you indeed can be sure your opponent is on a flush draw, the standard theory prescribes a bet sized 9/29 of the pot. This betsize makes your opp indifferent to calling and folding, and thereby reduces her/his pre-raise pot equity to zero.

Now, if you hold one of your opps nine outs, you want your opponent not to fold. So you should not increase your betsize beyond 9/29 of the pot. Rather, you should make your bet marginally smaller, thereby making her/him call, which renders a (slightly) negative expected pre-raise pottake for your opponent.

More interestingly, the opposite is true:

If - under the above conditions - you are not holding one of the outs, you should bet slightly more than 9/29th of the pot. This to ensure that the opp folds (calling a bet of 9/29th of the pot would be EV-positive for your opp).

[shooter69]

when u think ur opponent is on a flushdraw, don't give him the pot odds that it is gonna be an easy call. but in poker, it is so that u can do the right math only with the things u REALLY know. so this is when u see, one guy folded a card of this suit, so u don't count it to ur outs. in the long run of poker, this is so that u mostly will have the right outs u count.

[c double]

why are we worrying about outs if its already the river?

Holding the out allows you to make your bet a little smaller and still mathematically correct. However, since you want the villain to pay the max price to draw, and since villain thinks he has 9 outs, might as well charge everything you think the villain will pay. So I play the hand just the same as without the out.