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480 pot 720 bet... 480 + 720 = 1200
1200 pot, 720 to call...
If both our kings and twos are live, then we have 9 clubs, 3 kings and 2 twos, a grand total of 15 outs from a deck of 46... 15/46 * 100 is a fraction under 33%
Thus, we improve our hand roughly one in three times.
So let's play the hand three times and call each time.
Hand 1, we miss, we lose 720 more chips, win none.
Hand 2, we miss again, damn, another 720 gone, that's 1440 with no return.
Hand 3, BANG! a club falls. Bingo. We still had to invest 720, so in total we've invested 720 * 3, or 2160, and our total return for this investment is 1920. Therefore he has gained 240 of our chips over these three hands.
This is a negative investment, even before we consider the possibility of him having AK, AJ, A3, A2, AA, KK, JJ, Jx clubs, 33 or even 22, which all reduce our outs, and therefore our chances of making a winning hand.
Fold. Every single time. You need to see a shove lower than the pot with this probability of winning in order for this to be a positive long term investment.
I know this is a fairly old thread, but I wanted to force myself to go through the maths and thought process here just so I can see it's a bad call. I'm trying to train my brain into thinking about every bet or call as an investment, one that is relative to the pot I am trying to win.
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