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If you push
1) You pick up thte chips
2) You get called and win/lose
If you check behind
1) You pick up the pot and maybe more if you hit ur draw or trips on the turn
2) You fold if you miss your draw on the turn and he bets into you
Pretty tough calculation, since a open min raise from big stack in the SB means bupkis. He checks the flop, which is funny, because you are likely to push.
In fact, I cannot comprehend ANY logical holding with which he checks this flop.
That makes it rather difficult to calculate odds.
Either he's a moron for slow playing trips/over pair on this board, or his hand is so bad (23 hearts or something), that he can't bear to bet it.
Or he has the nuts, j8s (he could still lose if you have two spades, 1 higher than J, but that's something of a long shot).
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