I am studying probability at the moment, and find myself often having to deal with calculating the probability of poker hands, and thus have to be crystal clear on the definition of poker hands.

A straight is supposed to be any sequence of 5 cards. However, the following hands are excluded from being considered straights:

  • K, A, 2, 3, 4
  • Q, K, A, 2, 3
  • J, K, Q, A, 2

Why is that?

  • Straight A, 2, 3, 4, 5 is ofter called wheeler and is the only wrapped straight allowed. – luizfzs Nov 8 '17 at 16:56
  • that's the common reading but you can rank your hands anyway you like. These are just artificial rules, not laws. – Jon Nov 11 '17 at 12:58

Because that's the rules of the game. Simple as that. Straights are not cyclic, they're linear. Think of the Ace as the start point and end point but not at the same time. I.E. You can have an Ace high straight (10,J,Q,K,A) or a 5 high straight (A,2,3,4,5).

There are home games and variation games that make use of straights like you're describing, they're called 'wrap around' straights.

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  • 2
    An ace can be either high or low, but not both at the same time. – Herb Wolfe Nov 8 '17 at 13:13

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