Drunken Sailor
Rules: Five draw, but you can count pip cards as having one more or fewer pips than they show. Aces can be zero; tens can be 11.
Details: you can use zeroes and 11s in straights; the 11 goes between the 10 and the Jack. An 11 is slightly higher than a 10 for purposes of, eg, comparing pairs, but is still lower than a Jack. A pair of zeroes is legal, but is the lowest possible pair. (And I can't quite figure out why you would ever want that, but we decided it was legal.)
Analysis: This game is horrifyingly brain-breaking, especially after a beer or two.
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Variants
Mutiny: A
Seven Card Stud version of
Drunken Sailor -- that is, deal it like Seven Stud, but pip cards can go up or down like Drunken Sailor. But you can pay 20 to replace a face card when it is dealt. If you get another face card, you may do this again.