Re: 33$ - 22 facing push - learning experience =)
I ran this through SNGWizard as I thought it was an interesting hand. Default ranges (villain opening 22+, A2+, K9s+, KT+, QTs+, BB calling 22+, AT+) result in a suggested push, but it's only 0.1% difference.
Villain shoving any two (which is too wide of a range IMHO) results in a 1%+ difference for pushing. The worst situation (very tight pusher, very loose BB) results in -0.8 % for pushing (so a fold is better there).
I guess a push or fold is both fine here, depending on different reads you might have. Personally, I would fold here. I don't like the idea of flipping (which is the best case scenario) in a situation without Fold Equity and rather save my chips (over 4 BB gives enough FE) for a hand where I'm the agressor.
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