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What are the odds of being behind on a KKK flop when holding AA?
Further, is a bet, bet, bet-call line too mubsy* on a T8 turn/river? Should we be doing anything different here? (I bet 75-80% on three streets and villain just clicked back river)
Cheers.
*I had a feeling. Yep, a feeling.
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Comments
interesting...
given 6 players and that you see your AA, the chance that the first opponent hole card dealt is not a king is 46 from 50, chance of second card dealt not being a king is 45 from 49 etc for ten cards.
the chances of the flop being 3 kings is silly of course but if that happens the chances of being ahead (no king dealt) is 0.3968. the maximum chance of being behind is 60.32%.
this can only be diminished if the (soon to be lucky) opponent mucks their hand with the king
that's my best attempt, could be wrong.
If you are talking about 1 opponent with a 22+ and 23o+ range then there is a 1 in 23.5 chance you are behind. People have different ranges though and not many people play the entire deck as their range.
There are 52 cards, minus the 3 on the flop and minus the 2 aces you hold so 47 cards left. Of the 47 cards left only 1 is the case king. Your opponent has 2 cards so a 2 in 47 or 1 in 23.5 chance of having the case king. Which I think is around a 4.255% chance.
O star of wonder, star of night,
Star of royal beauty bright,
Westward leading, still proceeding,
Guide us to thy perfect light.
That flop makes me feel all Christmassy