Re: I think I should check this turn...??
I have a hard time with checking-with-outs, too. Here's my analysis.
This isn't checking with outs, becasue we aren't the button. So we have 3 options: bet, check-call, and check-fold.
Our hand is worth somewhere around 14 outs, maybe a little more.
Check-fold is terrible, since we have the pot odds to continue (by a very wide margin).
Check-call seems reasonable, but with 3 opponents we are close to having an equity edge with 1 card coming. That plus the slight fold equity we have puts us in a range where betting is +EV for value. So I think I like betting here a little more than check-calling, and check-fold is a huge error.
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