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Title: What are the odds.... Post by: pleno1 on January 17, 2011, 05:31:44 PM of getting a 7 card straight?
Title: Re: What are the odds.... Post by: celtic on January 17, 2011, 05:32:39 PM err 0%?
Title: Re: What are the odds.... Post by: Cf on January 17, 2011, 06:03:20 PM Title: Re: What are the odds.... Post by: EvilPie on January 17, 2011, 06:03:37 PM If you mean being dealt a 7 card straight in a 7 card game it's a bit tough to calculate.
Your first card doesn't matter. You just get dealt it. You then need 6 specific cards to complete the straight but there are 4 of each. So the chances against your second card being one of your straigting cards is 24/51 The next card is 20/50 Next 16/49 Next 12/48 Next 8/47 And finally 4/46 to complete the straight. So if you multiply these together you'll get your answer I think. (24*20*16*12*8*4) / (51*50*49*48*47*46) = 2949120 / 12966811200 = 0.000227436 Or about 4397 to 1 Maybe........ Title: Re: What are the odds.... Post by: doubleup on January 17, 2011, 06:20:16 PM err 0%? obv there isnt such a thing in poker but if there was it would be calculated dividing 4^7 by the possible 7 card cominations from 52 cards. oops edit there are 8 poss 7 cards str8s so 4^7 *8 about 1000-1 according to excel btw evilpies mistake is that some of his str8s can only be continued/completed with one card. Title: Re: What are the odds.... Post by: outragous76 on January 17, 2011, 07:29:56 PM err 0%? obv there isnt such a thing in poker but if there was it would be calculated dividing 4^7 by the possible 7 card cominations from 52 cards. oops edit there are 8 poss 7 cards str8s so 4^7 *8 about 1000-1 according to excel btw evilpies mistake is that some of his str8s can only be continued/completed with one card. and if you are dealt an A as first card straights become a little more tricky Title: Re: What are the odds.... Post by: EvilPie on January 17, 2011, 07:41:49 PM err 0%? obv there isnt such a thing in poker but if there was it would be calculated dividing 4^7 by the possible 7 card cominations from 52 cards. oops edit there are 8 poss 7 cards str8s so 4^7 *8 about 1000-1 according to excel btw evilpies mistake is that some of his str8s can only be continued/completed with one card. and if you are dealt an A as first card straights become a little more tricky I thought this but then changed my mind. I think A is actually a good card because it's actually smack in the middle of the deck. It's as good as an 8 for allowing you to continue after your 2nd card. It all depends on your 2nd card really. And the odds against your second card giving you a chance to continue are based on what your first card is. Does this mean that you can't actually calculate the true odds because it changes depending on what order the cards get dealt in? Phew... Tough one.... Title: Re: What are the odds.... Post by: pleno1 on January 17, 2011, 07:44:52 PM i have 56, flop comes 789, turn 10, river 11.
Title: Re: What are the odds.... Post by: MereNovice on January 17, 2011, 07:55:17 PM err 0%? obv there isnt such a thing in poker but if there was it would be calculated dividing 4^7 by the possible 7 card cominations from 52 cards. oops edit there are 8 poss 7 cards str8s so 4^7 *8 about 1000-1 according to excel btw evilpies mistake is that some of his str8s can only be continued/completed with one card. and if you are dealt an A as first card straights become a little more tricky I thought this but then changed my mind. I think A is actually a good card because it's actually smack in the middle of the deck. It's as good as an 8 for allowing you to continue after your 2nd card. It all depends on your 2nd card really. And the odds against your second card giving you a chance to continue are based on what your first card is. Does this mean that you can't actually calculate the true odds because it changes depending on what order the cards get dealt in? Phew... Tough one.... An ace isn't as good as an 8 since there are only two straights that contain an ace - there is no 32AKQJT seven card straight. As stated above it's about 1000/1 (1019.7/1 to be more precise, I think). Title: Re: What are the odds.... Post by: Cf on January 17, 2011, 08:02:58 PM Ok. Pretty sure i've got it right here...
Let's assume we're just playing draw poker using 7 card hands. We select 7 cards. There are 8 possible straights... A..7 .. 8..A So there are 32 possible straight flushes. For the total number of straights we do... 8C1 (the 8 straights) x (4C1)^7 (the suit combinations) = 131,072 possible straights Remove the straight flushes gives us 131,040 straight combinations. There are 52C7 = 133784560 possible 7 card hands. So the chance of drawing a straight is: 0.098% Title: Re: What are the odds.... Post by: doubleup on January 17, 2011, 08:10:38 PM Ok. Pretty sure i've got it right here... Let's assume we're just playing draw poker using 7 card hands. We select 7 cards. There are 8 possible straights... A..7 .. 8..A So there are 32 possible straight flushes. For the total number of straights we do... 8C1 (the 8 straights) x (4C1)^7 (the suit combinations) = 131,072 possible straights Remove the straight flushes gives us 131,040 straight combinations. There are 52C7 = 133784560 possible 7 card hands. So the chance of drawing a straight is: 0.098% If you are going to be that pedantic you should remove the 7 card str8s that are 5 card flushes ;) Title: Re: What are the odds.... Post by: pokerfan on January 17, 2011, 08:13:28 PM i have 56, flop comes 789, turn 10, river 11. 101:1 to flop 789, then depends if you want exactly a 10 on turn or a 10 or j. Someone do the math for both pls.Title: Re: What are the odds.... Post by: Cf on January 17, 2011, 08:15:11 PM Ok. Pretty sure i've got it right here... Let's assume we're just playing draw poker using 7 card hands. We select 7 cards. There are 8 possible straights... A..7 .. 8..A So there are 32 possible straight flushes. For the total number of straights we do... 8C1 (the 8 straights) x (4C1)^7 (the suit combinations) = 131,072 possible straights Remove the straight flushes gives us 131,040 straight combinations. There are 52C7 = 133784560 possible 7 card hands. So the chance of drawing a straight is: 0.098% If you are going to be that pedantic you should remove the 7 card str8s that are 5 card flushes ;) Why? I'm just assuming 7 card hands :) Title: Re: What are the odds.... Post by: doubleup on January 17, 2011, 09:15:32 PM Ok. Pretty sure i've got it right here... Let's assume we're just playing draw poker using 7 card hands. We select 7 cards. There are 8 possible straights... A..7 .. 8..A So there are 32 possible straight flushes. For the total number of straights we do... 8C1 (the 8 straights) x (4C1)^7 (the suit combinations) = 131,072 possible straights Remove the straight flushes gives us 131,040 straight combinations. There are 52C7 = 133784560 possible 7 card hands. So the chance of drawing a straight is: 0.098% If you are going to be that pedantic you should remove the 7 card str8s that are 5 card flushes ;) Why? I'm just assuming 7 card hands :) in the voice of "this one goes up to eleven" a straight flush is a straight and a flush Title: Re: What are the odds.... Post by: kinboshi on January 17, 2011, 09:23:55 PM Disappointed. No one's gone for the 50/50 option.
Title: Re: What are the odds.... Post by: rex008 on January 17, 2011, 09:45:59 PM How about an 8 card straight by the turn in Omaha? Just happened to me (3-10). Unfortunately I folded pre. Such is life.
Title: Re: What are the odds.... Post by: MereNovice on January 17, 2011, 09:57:05 PM How about an 8 card straight by the turn in Omaha? Just happened to me (3-10). Unfortunately I folded pre. Such is life. 1639.4/1 roughly. :-) |