A great discussion is going on here
First of all, when I analyzed the hand, I made a rough estimation and in such a spot my default play is to call because of reasonable pot odds. But let's analyze the situation more mathematically.
We are getting pot odds of 4,61:1,86 or 2,48:1. This means that we need to win in 1/(2,48+1) = 28,75% of the cases.
Now lets take a look at our equity. Which range do you give the small stack. In my experience, I'd give him a range like 22+,AQ,KQ,AK (I did not take SCs like 6:s7:s into account - they would result in a higher equity of Hero). Given this range, we get the following results (using Pokerstove):
100,980 games 0.010 secs 10,098,000 games/sec
Board: Ts Qs 2c
Dead:
equity win tie pots won pots tied
Hand 0: 64.057% 59.72% 04.34% 60304 4380.50 { 22+, AQs+, KQs, QJs, AQo+, KQo, QJo }
Hand 1: 35.943% 31.61% 04.34% 31915 4380.50 { AhKs }
Our equity of 36% is much larger than the needed 28,75%. Maybe you argue that I chose a too wide range. Well, in my experience players with such stacks don't need to nuts to put all of their chips into the middle. They make the moves with Top Pairs as well as with bottom pair or draws. However, we can also make a kind of scenario analysis: Lets assume Villain only pushes with Sets or TP - I definitely think that this is way to conservative, but we want to see how our equity is against this range.
44,550 games 0.005 secs 8,910,000 games/sec
Board: Ts Qs 2c
Dead:
equity win tie pots won pots tied
Hand 0: 72.121% 71.81% 00.31% 31993 137.00 { QQ+, TT, 22, AQs, KQs, QJs, AQo, KQo, QJo }
Hand 1: 27.879% 27.57% 00.31% 12283 137.00 { AhKs }
We have 27,9% equity so even in such a worst case scenario we would be very close to the required equity. Hence, I think a call is the best play.
Is the way how I calculated this stuff clear or should I elaborate on something?