re: Poker & Attacking small stack question.
Okay, let's assume hero has 5k, villain 1.2k, blinds 300/600. Hero has 72o.
Hand 1 (72o): 34.5836 %
Hand 2 (random): 65.4164 %
EV [fold]: 4700 (you lose 300 chips)
EV [push]: (0.346*6200)+(0.654*3800) = 2145 + 2485 = 4630
(- 34.6% of the time you gain 1200 chips, giving you 6200 total.
- 65.4% of the time you lose 1200 chips, giving you 3800 total.)
So it's close. Certainly push with any paint, anything suited, and anything connected (probably excepting 32o/43o). Even with something like T4o it's mathematically correct to push, so push anything except a select few terrible hands (32o, 72o, 63o etc).
If villain is an uberdonk and you think there's even a 5% chance of him folding, push any two.
If there is an ante, push any two.