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Ivory, you're getting your figures wrong. You can't take out the cards dealt to other players, you have to assume they are still to be dealt as you don't know what they are - but you can take out the cards dealt to you and, in this case, dealt to him as we know he has JJ, QQ or KK.
Therefore, there are ten Jack, Queens and Kings left out of 48 cards to be dealt. That means there is approx a 10 in 48 chance of them will be dealt on each of the three cards on the flop, which equates to roughly 30/47 or 63% chance you will see one on the flop.
In your last sentence are you arguing that you're going all in in any case?
Ivory, the problem is this: if he definitely has JJ, QQ or KK, then there is a 33% chance that if a J, Q or K hits he will have made a set, and a 67% chance that he will not. But you can't know which, and if he is smart his betting will not give this away.
But a bigger issue here is opportunity cost - that, if he has QQ, and the flop comes 35K, say, and you bet the pot or more (as you should) then he may fold. This means you win a small pot when, had you gone all in pre-flop and been called, you would almost certainly have won a huge pot.
Poker is about making the odds work for you. If you have AA and you can get someone to go all in against you pre-flop it is NEVER the wrong move, ever ever ever.
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