odds of 3 flushes in one hand

The_Don90

Ok i have no idea what happened here anyways whats the odds of 3 flushes all connecting on the river ?


PlayerActionCardsAmountPotBalance Small blind £0.02£0.02£1.50The_Don90Big blind £0.04£0.06£3.96 Your hole cardsJK    Fold     Call £0.04£0.10£10.76 Fold     Call £0.04£0.14£2.51 Call £0.02£0.16£1.48The_Don90Check    Flop  2Q7    Check    The_Don90Check     Check     Check    Turn  Q    Check    The_Don90Check     Check     Check    River  4    Bet £0.04£0.20£1.44The_Don90Raise £0.28£0.48£3.68 Call £0.28£0.76£10.48 Call £0.28£1.04£2.23 Fold    The_Don90ShowJK    Muck35    Muck910   The_Don90WinFlush to the King£0.96 £4.64

MereNovice

The probability of three players at a 6-seater table being dealt 2 cards of the same suit, making a flush draw by the turn and hitting it on the river is: 12/51*11/50*10/49*9/48*8/47*20*7/46*6/45*39/44*38/43*6*5/42.

This is equivalent to odds of: 13,063 to 1.

The_Don90

cheers mate was a curiosity thing

major1962

In Response to Re: odds of 3 flushes in one hand:

The probability of three players at a 6-seater table being dealt 2 cards of the same suit, making a flush draw by the turn and hitting it on the river is: 12/51*11/50*10/49*9/48*8/47*20*7/46*6/45*39/44*38/43*6*5/42. This is equivalent to odds of: 13,063 to 1.
Posted by MereNovice

Excuse me????? lol

seems i have a looong way to go before i work out HOW to work out the odds.
Maybe this is where im going wrong? At the moment im feeling my way through tournys,
as a side question, where do i pick up this info?

MereNovice

In Response to Re: odds of 3 flushes in one hand:

In Response to Re: odds of 3 flushes in one hand : Excuse me????? lol seems i have a looong way to go before i work out HOW to work out the odds. Maybe this is where im going wrong? At the moment im feeling my way through tournys, as a side question, where do i pick up this info?
Posted by major1962

I worked it out as follows:

Player A - 1st card could be anything
Player A - 2nd card must be one of 12 cards of the same suit from 51 cards remaining (hence 12/51)

Player B - 1st card must be one of 11 cards of the same suit from 50 cards remaining (hence 11/50)
Player B - 2nd card must be one of 10 cards of the same suit from 49 cards remaining (hence 10/49)

Player C - 1st card must be one of 9 cards of the same suit from 48 cards remaining (hence 9/48)
Player C - 2nd card must be one of 8 cards of the same suit from 47 cards remaining (hence 8/47)

There are 20 ways of choosing 3 hands from 6 players at the table.

Then exactly two of the first four community cards need to be of the same suit:

1st community card can be one of 7 cards of the same suit from 46 cards remaining (hence 7/46)
2nd community card can be one of 6 cards of the same suit from 45 cards remaining (hence 6/45)
3rd community card can be one of 39 cards of a different suit from 44 cards remaining (hence 39/44)
4th community card can be one of 38 cards of a different suit from 43 cards remaining (hence 38/43)

There are 6 ways of choosing 2 cards from the 4 dealt on the flop and turn.

River card must be one of 5 cards of the same suit from 42 cards remaining (hence 5/42).

To get the overall probability you multiply all these numbers together.


I know that you didn't really want to know but I couldn't help myself.
It's not really of any use to anyone, obviously.

The_Don90

In Response to Re: odds of 3 flushes in one hand:

In Response to Re: odds of 3 flushes in one hand : I worked it out as follows: Player A - 1st card could be anything Player A - 2nd card must be one of 12 cards of the same suit from 51 cards remaining (hence 12/51) Player B - 1st card must be one of 11 cards of the same suit from 50 cards remaining (hence 11/50) Player B - 2nd card must be one of 10 cards of the same suit from 49 cards remaining (hence 10/49) Player C - 1st card must be one of 9 cards of the same suit from 48 cards remaining (hence 9/48) Player C - 2nd card must be one of 8 cards of the same suit from 47 cards remaining (hence 8/47) There are 20 ways of choosing 3 hands from 6 players at the table. Then exactly two of the first four community cards need to be of the same suit: 1st community card can be one of 7 cards of the same suit from 46 cards remaining (hence 7/46) 2nd community card can be one of 6 cards of the same suit from 45 cards remaining (hence 6/45) 3rd community card can be one of 39 cards of a different suit from 44 cards remaining (hence 39/44) 4th community card can be one of 38 cards of a different suit from 43 cards remaining (hence 38/43) There are 6 ways of choosing 2 cards from the 4 dealt on the flop and turn. River card must be one of 5 cards of the same suit from 42 cards remaining (hence 5/42). To get the overall probability you multiply all these numbers together. I know that you didn't really want to know but I couldn't help myself. It's not really of any use to anyone, obviously.
Posted by MereNovice

i think ill stick to asking

YOUNG_GUN

more to the point how did you not stack them both

The_Don90

In Response to Re: odds of 3 flushes in one hand:

more to the point how did you not stack them both
Posted by YOUNG_GUN

good question, i have no idea, wish one of them re-raised then the other one shoves and it goes all in.

YOUNG_GUN

hindsight is a beautiful thing, fair play to them both for just calling although is likely 1 other has better flush

Headup2

Sky Poaker is rigged obv