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In a game of poker, holding a 567 spade would often be refered to a runner runner straight ( both open and gut shot) or runner runner flush draw sometimes refered to as a backdoor flush. Presumably you are basing this on Two hole cards and the 3 cards that compose a flop, for instance if the turn card fails to bring 34 89 or or any spade 12+9 (21) then you have no chance at completing your hand on the river. 21/47 means that 42% of the time you will have a chance of hitting your straight or flush. If we assume you hit a favourably card i.e 8 spades you now have an open ended flush draw, and 4 9 or spade gives you a good hand (6+9=15), this means that just under 1/3rd of the time given favourable conditions on the turn you will make you hand. However a word of warning if we carry out an All in situation the % of both hitting your out on the turn and river are dramatically reduced. i.e assuming only a flush draw 9/47 =18%/ 3x 2 = 12% Overall odds of completing your flush , this would infer a pot odd of 1-8.5 would be required to make calling sensible, this would assume that 8 random hand pairing have gone all in before you and you none of them are draw to a higher flush ect, This is not a hand you wish to be betting most of the time.
You use your best five cards to make your poker hand. A full house (three of a kind + a pair) beats a flush (five non-sequential cards of the same suit). - Bdx
this is for 5-card poker (4*2^5) which gives you 128, that's your m devide it by n, which is the possibilities of hand draws (8C5) so it will be 128/1712304 and that's your answer.00007547
589999999999
The lowest hand in standard poker is 2, 3, 4, 5, and 7, not in the same suit.