Played poker two nights ago and the result ended up being quad kings over quad queens over aces full of kings. it was insane
closed as unclear what you're asking by Bogdan Doicin, Radu Murzea♦ May 31 at 13:11
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There is only one way for the hand to run this way.
Player A: AA Player B: KK Player C: QQ
Fairly we can assume no one folds when dealt these hands.
% AA (1/221), 4% of the time at least one player has AA in a 9-handed game. % KK (1/204.17) assuming someone has AA, 3.85% of the time for the remaining 8 players % QQ (1/188), assuming 2 players have AA/KK, 3.66% of the time for the remaining 7 players
Chance of AA+KK+QQ in a 9 handed game = ~0.0056453%. This is a slight overestimation because it doesnt account for 2 players having AA (or KK/QQ).
Chance of board running AAKKQ or AKKQQ or AAKQQ (6 outs) = 6!/(46!/41!)
Chance of board running AKKQQ = [6!/(46!/41!)]/3 = ~0.00014590%
Chance of your scenario in 9 handed game = 8.23*10^-11, or 1 every 12140663652 times.
If there were 1,000 9-handed poker tables running at average rate of 30 hands/hour, it would take about 50 years for one hand to be that scenario you described. Not all that impossible, although its more likely someone is rigging your deck.