Dues
"Now that there were no A's or Q's on the flop for the past two boards, I figured that and A or Q was "due". I know that every board is entirely random, and this thinking is similar to betting red on roulette when the last three numbers fell black. Any merit to this at all, however?"
The math says no.
Do not ignore the dealer's shuffling; see if you can detect any weaknesses.
|