# Solved – What are the odds of drawing 7 cards that end up sequential – from a 52 card deck? (7 card poker straight)

While playing a friendly game of Texas Hold'em poker, a player drew a 7 card straight.

Although in texas hold'em a player may only use 5 of the possible 7 cards, the discussion about odds immediately came up. What are the odds of getting a 7 card straight?

For those unfamiliar with poker, the question can be asked this way: What are the odds of drawing 7 cards from a 52 card deck, with those cards ending up sequential? *

I tried searching the vast knowledge of the internet, but was unable to come up with an answer. the closest i get is the probability of drawing a 5 card straight in a 5 card stud game (0.00392465), but i got lost trying to add the probability of the next 2 cards – due to the complexity of the straight (the next 2 cards can complete the straight – if the first 5 cards drew 4.5.7.8.9 and the next 2 cards were 6.10).

Any help or pointers on this subject would be extremely helpful. calculating a straight

*) An Ace card can be used to start a low straight or to complete a high straight – both A.2.3.4.5.6.7 and 8.9.10.J.Q.K.A are legal. but it cannot be used to wrap – J.Q.K.A.2.3.4 is not legal.

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