Closer to 9-1 than 25-1, and it would depend on the game but I often fold kings in cash.
Folding KK isnt a problem but calling is never an option.
If silo was trapping after putting him on a hand such as 1010/JJ,maybe then, but why would you call when you are, as a guesstimation, 80% sure he had a premium hand (QQ/KK/AA) so you either raise get reriased and fold or raise get reraised and gamble hoping he doesnt have AA. Im never flat calling a flop when im almost sure he has AA or flat calling him and risking him setting up cheaply with a lesser PP.
And i would consider folding Kings a hell of a lot more in MTT's than i would in a cash game.
(Assuming full-ring $1/$2- as previously mentioned.)
I assure you that my advice is the optimum way to play the hand. As I mentioned before, you can be pretty certain that villain has AA so re-raising/folding to a push is the worst possible option (except perhaps for re-rasing/calling an all-in.)
You are ~7.5/1 to flop a set, but 9/1 are better odds to use because that accounts for your flopped set to remain ahead by the river. (Where on earth did you get your original 25/1 quote from!!?) The villain's [terrible] min-raise is giving you ~21/1 so it's a very easy
call.
Having the 2nd nuts here is completely irrelevant unless you emphasise the "2nd" part of that statement. Heads up here, KK should be played the same as 22.
Regarding "
And i would consider folding Kings a hell of a lot more in MTT's than i would in a cash game."
This is completely illogical and you're losing equity both in MTTs and at the cash table. Here is a regurgitation from my blog regarding committing pre with KK/AK at mid-stake full-ring:
The depth of your (and opponents') stacks have a massive impact on your decisions. The shorter the stacks, the easier it is to play.
All half-decent starting hands are shoving hands when your (or opponent's) stacks are short enough. However there is an upper limit for shoving with all hands except AA.
Most players are happy to get it all in with KK pre-flop. "I'm only behind to one hand." What if you both had 1,000BB would you call an all-in then? What about 10,000BB? A ridiculous example of course, but it's used to illustrate a point- that there is an upper limit.
AK (and all hands) play better in tournaments for shoving/calling an all-in because the nature of play is very different. The idea is to accumalte chips, so people play looser and are prepared to gamble a little more. Even at the first level of an MTT players routinely shove/call with all types of hands AJ+, KQ, any pair (obviously the lower the buy-in, the greater the range.) So AK is in pretty good shape in most cases- at least, it's rarely a big dog.
However cash is not about being the chip leader. You can't "bully" at the cash table because you have a big stack. The is no advantage to having more or less chips than someone else, so there is no urgency to gamble in order to build a stack- so players are typically more selective with hands that they are prepared to get it all in with pre-flop.
Now, there will also be maniacs and other players who are just clueless. Many cash players are poor because they play 100BB full-ring cash the same way as they see players on the TV playing short-handed Final Table shallow stack poker. If you have this information on a player then you have to factor it in to your decision of course.
On most occassions though, faced with the situation that we have here, you won't be up against a complete maniac or muppet- so you base your decision on your experiences of having been in this situation before and your experiences of witnessing others in this situation.
General I wouldn't want to commit myself to more than 50BB pre-flop with KK. With AK, it's probably around 25-30BB however it's also situation dependent. E.g. If I'm in the BB with AK and facing a 3.5BB raise from a player with 25BB then I'll raise him to, say, 15BB (and get the rest in on the flop if not raised again pre.) However if there's a 4BB raise from the UTG deep-stack and then a raise to 9BB from a 30BB mid-position stack then your decision is much harder. His re-raise here looks strong and also you don't know if the UTG will raise again.
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