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Long post ahead 
Regarding betting half the pot, its relative to what the board is showing.
Lets use several examples of 1010
You're dealt 10d10c in position on the button. Everyone folds around to you and you put in a nice raise of 3xbb. You get no call from SB and BB re-raises you. You call.
Board comes 10s, 5c, 2d. There is no flush draw and the only straight draw is an open ended on 34 (He re-raised yuo with 3/4? He's got to be a very loose player (Even players who like small suited connectors tend to avoid 23 and 34)) Or an inside wheel for A/3 or A/4. This is a possibility if a player is playing these as suited cards, a re-raise is unlikely but given your relatively small raise he may have been re-raising you for information, so you can't rule that out. Even still, its an inside straight, giving him very minimal odds, pretty any bet you make is going to be higher than his pot odds. You have the nuts, at this point.
Your opponent checks. In this situation if you bet half of the pot you'd likely be driving him out and not getting money for your hand, the only way he would call is if he's a ceritifed maniac from playing 34 or calling with an inside straight.
If you were to bet in this situation 1/4 to 1/3 of the pot looking like a small bluff and he goes back over the top of you (he either thinks you're bluffing and is taking it as an insult) has a high pocket pair (Possible given his pf re-raise) If he doesnt' re-raise you he likely doesn't have the high pockets so you can probably discount that. If he does re-raise you take that pot down right now with a good ol' fashioned push. Its also possible your opponent is on draw with AQ or AK, you're not worried about those at all, he'd have to hit runner runner for a set or straight to have you even cringe.
If your opponent simply calls then you can put him on a straight draw, if a blank falls on the turn, turn up the heat, he's obviously not worried about pot odds, so at this point make him pay for that river or take the pot there. Playing it slow on the turn the only way you are gonig to get action on the river is if he hit, which at that point its going to be a hard hand to lay down so you either want to force a laydown or have him pay you off at 10-1 odds.
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Now the flop is 10h, 5h, 2c.
Your opponent checks, at this point you want to bet at least 50% of the pot to push out the flush and straights. You might not get paid off as a result, but you can't let him draw for free on a hand thats goign to be very hard for you to lay down.
If a heart does hit and he raises into you after an awful lot of checking, you make the laydown.
This is especially important outside of heads up, if five hands see the flop and it comes flush/straight draw, you *have to* put in a substantial raise.
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Now if the board comes 10h, 9h, 9c? You check "you have the deck crippled" The only way he's going to lay into you is if he has three remaining cards 10 (re-raising 10x?), 9 9 or if he has a monster pair. If he's on flush or straight draw you want him to hit his hand because thats the only way you're going to get paid off, and you'll likely get paid off big. In this situation you don't worryabout quads or the straight flush or the overcard pair hitting a set, in fact you should never worry about quads or the straight flush in a hand like this. People can play half their lives and land quads and the straight flush 30 times, the amount of times they faced a full house you might be able to count on a hand.
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