Title: Odds calculators ... what are... Post by: CrestOfaWave on November 29, 2007, 09:27:14 PM ...the odds of 3 people flopping a flush on the flop???
Would have to be one of the sickest pots i've got involved with just a shame i was a relatively small stack in a small game... Anyone want to take a guess for fun... PokerStars Game #13544807842: Tournament #68180141, $3.00+$0.30 Hold'em No Limit - Level VI (100/200) - 2007/11/29 - 15:39:56 (ET) Table '68180141 163' 9-max Seat #9 is the button Seat 1: crosscourtbh (5300 in chips) Seat 2: doctoro (5630 in chips) Seat 3: StingLT (7475 in chips) Seat 4: Monsbjerg (4875 in chips) Seat 5: jorge5555 (16330 in chips) Seat 6: Callmedk2 (7235 in chips) Seat 7: DANDAN33 (40350 in chips) Seat 8: Mr Trutta (7075 in chips) Seat 9: bestfake (18395 in chips) crosscourtbh: posts small blind 100 doctoro: posts big blind 200 *** HOLE CARDS *** Dealt to crosscourtbh [Ac 7c] StingLT: folds Monsbjerg: folds jorge5555: folds Callmedk2: folds DANDAN33: calls 200 Mr Trutta: folds bestfake: calls 200 crosscourtbh: calls 100 doctoro: checks *** FLOP *** [5c 3c Qc] crosscourtbh: bets 200 doctoro: folds DANDAN33: calls 200 bestfake: raises 1200 to 1400 crosscourtbh: raises 3700 to 5100 and is all-in DANDAN33: raises 3700 to 8800 bestfake: calls 7400 *** TURN *** [5c 3c Qc] [Kh] DANDAN33: bets 9400 bestfake: calls 9395 and is all-in *** RIVER *** [5c 3c Qc Kh] [9h] *** SHOW DOWN *** DANDAN33: shows [6c 4c] (a flush, Queen high) bestfake: shows [Kc Tc] (a flush, King high) StingLT said, "omg" crosscourtbh said, "lol" bestfake collected 26190 from side pot crosscourtbh: shows [Ac 7c] (a flush, Ace high) crosscourtbh collected 16100 from main pot *** SUMMARY *** Total pot 42290 Main pot 16100. Side pot 26190. | Rake 0 Board [5c 3c Qc Kh 9h] Seat 1: crosscourtbh (small blind) showed [Ac 7c] and won (16100) with a flush, Ace high Seat 2: doctoro (big blind) folded on the Flop Seat 3: StingLT folded before Flop (didn't bet) Seat 4: Monsbjerg folded before Flop (didn't bet) Seat 5: jorge5555 folded before Flop (didn't bet) Seat 6: Callmedk2 folded before Flop (didn't bet) Seat 7: DANDAN33 showed [6c 4c] and lost with a flush, Queen high Seat 8: Mr Trutta folded before Flop (didn't bet) Seat 9: bestfake (button) showed [Kc Tc] and won (26190) with a flush, King high Title: Re: Odds calculators ... what are... Post by: kinboshi on November 29, 2007, 09:32:33 PM On PokerStars? About evens.
Title: Re: Odds calculators ... what are... Post by: CrestOfaWave on November 29, 2007, 09:37:01 PM yeah good call. Seriously though must be pretty high.
Title: Re: Odds calculators ... what are... Post by: TheChipPrince on November 29, 2007, 10:57:27 PM Say the cards were dealt face up, and u all showed club hands (2 clubs each) the odds of 3 clubs on the board is 433 to 1...
So, the odds of being dealt 2 clubs for player 1 is 17-1, player 2 is 22.3 - 1, player 3 is 31.3 So the odds your all dealt 2 clubs each is 11,865 to 1... Multiple these = 5,137,545 to 1 - That you all get dealt 2 clubs, then the flop comes club, club, club... Dived 5,137,545 / 4 for the different suits.... = 1,284,386 So the chance of you and two other players being dealt the same suit, then the flop coming 3 of that same suit is nearly 1.3 million!! (Quick calulations, could be completely wrong!!!!!!!!!!!!) Title: Re: Odds calculators ... what are... Post by: Moskvich on November 29, 2007, 11:04:17 PM Though of course it's like all these questions - the odds of it happening on that specific hand are astronomical, but the probability of this happening in a hand you play at some point in your life is relatively high.
Once you know that three people all hold two of the same suit before the flop I think the chance of the flush flopping is about 0.2%. Title: Re: Odds calculators ... what are... Post by: TheChipPrince on November 29, 2007, 11:11:30 PM Once you know that three people all hold two of the same suit before the flop I think the chance of the flush flopping is about 0.2%. Thats the easy bit, 7/46 x 6/45 x 5/44 = 433 to 1... Its the rest that is hard! Title: Re: Odds calculators ... what are... Post by: Smart Money on November 29, 2007, 11:37:23 PM Say the cards were dealt face up, and u all showed club hands (2 clubs each) the odds of 3 clubs on the board is 433 to 1... So, the odds of being dealt 2 clubs for player 1 is 17-1, player 2 is 22.3 - 1, player 3 is 31.3 So the odds your all dealt 2 clubs each is 11,865 to 1... Multiple these = 5,137,545 to 1 - That you all get dealt 2 clubs, then the flop comes club, club, club... Dived 5,137,545 / 4 for the different suits.... = 1,284,386 So the chance of you and two other players being dealt the same suit, then the flop coming 3 of that same suit is nearly 1.3 million!! (Quick calulations, could be completely wrong!!!!!!!!!!!!) The above is assuming a 3-handed game of course. You'd have to divide by 84 (9!/6!3!) to allow for a 9-handed game, which reduces the odds to just over 15,000/1* (*This assumes that all 3 players see a flop, which would not typically happen. Therefore we would have to multiply those odds by some speculative factor for a more accurate probability.) Title: Re: Odds calculators ... what are... Post by: Moskvich on November 29, 2007, 11:55:08 PM Quote Thats the easy bit That's why it's the bit I did :) Title: Re: Odds calculators ... what are... Post by: celtic on November 30, 2007, 12:34:37 AM my brain hurts.
nh tho. Title: Re: Odds calculators ... what are... Post by: thetank on November 30, 2007, 02:21:49 AM Assuming players with suited cards (any suit) see flop the average of 28.8% of the time, and a full table has an average of 8.2 players dealt in each hand, three of them will flop a flush every 13,217,000 hands. (approximately)
Unless I just made all that up. There is an 89% chance of this. Title: Re: Odds calculators ... what are... Post by: Smart Money on November 30, 2007, 03:10:27 AM Assuming players with suited cards (any suit) see flop the average of 28.8% of the time, and a full table has an average of 8.2 players dealt in each hand, three of them will flop a flush every 13,217,000 hands. (approximately) Unless I just made all that up. There is an 89% chance of this. Approx 5/3 of all people don't understand fractions or percentages. Title: Re: Odds calculators ... what are... Post by: thetank on November 30, 2007, 03:12:53 AM I thought 13 mill is a good estimate tbh.
Anyone want to go under/over for £1.50? We can then go ask Sklansky to judge. |