Jatki, this is Arc's favorite analogy when talking about Singer: 2+2=5. But Singer does not dispute the math. Singer only says that if you do something different you might get lucky and win more. Or, he says take a chance not on a bigger win, but on a smaller win and increase your chances for getting the smaller win.
Somehow Arc thinks that means 2+2=5. I just don't get why he keeps saying Singer doesn't follow the math.
To be clear Singer does not follow conventional strategy. His plays can and often due result in less than otpimal return or expected return, but when he connects he wins. And Singer makes these decisions because his goal for playing is different from those who follow conventional strategy. Conventional strategy has no time limit -- and it is played whether you play one hand or a billion hands. Singer is different. He plays only until a win goal is reached or a loss limit is reached.
Now, where Singer gets really controversial isn't anything to do with his special plays. In fact, a lot of VP players in casinos hold aces or one pair instead of two pair, etc. Where Singer really gets everyone in a tizzy is when he says part of the reason for his special plays is that its based on his experience about what cards are dealt from the RNG and his belief in hot and cold cycles, and fifth card flipovers, etc. It is that part of his strategy/system/method which makes the rest of his system open to attack.
The reality is in games like DDB when two pair pays the same as one pair, a lot of players will hold the single paying pair. For example, dealt QQ339 many players will hold the QQ to try for quads. Conventional strategy says hold the two pair for a better chance at a full house. But if you get lucky and hit the quads you could reach your win goal. I see players all the time at $5 DDB machines holding only the big paying pair -- and when they get the quads they pick up and leave with $1250.
And take a look at Special Play #30 here: http://alanbestbuys.com/id197.html I know that the "correct play" is to hold the full house, but it certainly is tempting to try for the quad deuces, isn't it?