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jyms, I read over most of that thread and I still think what I've stated is accurate. Feel free to quote whatever point I'm missing to spell it out for me because it is a lengthy thread. To me, the 10x rule does NOT say the villain needs to stack off, which many people implied in that thread. As I said in my post, it simply means you need to get paid that much money - it could come from 2 or 3 villains, it could come from 1 villain who only loses 25% of his stack, or maybe all of it. You DO need to assess stack sizes to first see if there's even enough money to pay you off and then based on villain's tendencies and your image if it's conceivable to get that money.
Trying to use an arbitary # like 20:1 or 25:1 or 15:1 to try to account for all villains and situations and when you'll LOSE when you hit your set is not going to maximize your value. The 10x rule gives you the INFORMATION of WHAT you need to figure out - there is no "one size fits all" approach or rule to calling to set-mine, which is what I believe some people in that thread and possibly this one would like to do. Every situation is different, but the math is real. When you call a bet setmining, you will NOT hit it 9 out of 10 times on average. If you're fairly certain you won't win the pot when you hit, you need to make sure you can make it when you DO. Notice I'm not saying to CALL if your opponent has 10x the amount of the bet, I'm saying "figure out if you can get 10x that money when you hit". If you think you can get that money when you hit and you're right, it IS correct in my view to do it.
By the way, the odds of getting set over set or some other highly unlikely scenario where you hit your set and they still win is around 1% or less AGAIN not taking into consideration the times when YOU still win because you get a str8 or flush or quads when they only have a set. Not to mention against some villains you can STILL win after the flop when you miss because they have AK and missed or you push them off their hand or you had the best hand all along because they had a smaller pp.
But, for the sake of argument, say you're playing $2NL and are facing an 8 cent bet. You will lose 8 cents by calling 9 times on average. Let's say you CORRECTLY peg a villain, who AFTER the FLOP on AVERAGE, will pay you off 80 cents and not a penny less or a penny more when you hit. The +EV of calling is 16 cents -> -$.08 * 9 (the 8 cents you lose by calling 9 times) + $0.80 (the amount EXTRA you get paid the time you hit) + $0.08 (the original raise/bet). Now, let's examine that time you WON and divide that into 100 trials to account for the 1% time you get coolered with set over set or whatever. You will win the $0.88 cents 99 times and lose your effective $2 100 bb stack once - that's $0.88 * 99 minus $2 DIVIDED by 100 (total trials) which equals $0.85 cents. So, instead of winning $0.88 cents in our original 10 trial example, we'll adjust it to $0.85 and our 16 cents is reduced to 13 cents. So, it's still a winning play. This also assumes that YOU will never fold when you hit. I got news for you, if you're going to be a long term winning player moving up the stakes, there will be times you need to lay down sets when you set-mine and hit.
My main point, which I stand by, is that 10x the bet size you are facing IS a good approximation of what you need to win AFTER the flop on average if you can't win when you miss. There is a lot more analysis and consideration on when you can get that money and when you can't plus when you can take down the pot when you miss. For those considerations, there is no ratio or math rule that can help you - you have to play poker @ some point
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