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Message: [QUOTE="Enzo1089, post: 2123971, member: 98825"] The reason that the royal flush is highest is not a historical thing. It is purely mathematical. Probability-wise, hitting a royal flush is the rarest hand in poker, with odds of 1/649,740. Hitting any straight flush, including royal flushes is a probability of odds 1/64,964. The math behind this is actually pretty simple. From the beginning, the chance of getting one card needed for a royal flush is 20/52. Once you have that, there are 4/51 cards...then 3/50....then 2/49....then 1/48. By the rules of probability, to get the odds of this, you multiply these together. When not reduced, that fraction is 480/311,875,200. It just so happens that 480 goes evenly into 311,875,200. This reduces to 1/649,740. The math for a straight flush is honestly even easier. There are 40 combinations of straight flush available. A 2 3 4 5 2 3 4 5 6 3 4 5 6 7 4 5 6 7 8 5 6 7 8 9 6 7 8 9 10 7 8 9 10 J 8 9 10 J Q 9 10 J Q K 10 J Q K A (Royal) Those are the 10 straight combinations. Multiplied by the 4 suits gives you 40 possible combinations of a straight flush. There are 52 cards in a deck of cards. Meaning the total amount of possibilities of card combinations you can have is 52! (factorial). Since we are looking for 5 card combinations...the formula is B! / (A! * (B - A)!) where B is 52 (cards in deck) and A is 5 (number of combination). You then end up with 52! / (5! * (52 - 5)!) --> 52! / (60 * (47!)) After some typing into my calculator...that gives you 2,598,960. 40 possible straight flushes... 40/2,598,960 = 1/64,974. Also works with the royal flushes...don't know why I did that the long way. 4 possible royal flushes... 4/2,598,960 = 1/649,740. Sorry if the math hurts anyone's head, but it had to be done :p And this should debunk anyone who thinks that the odds of getting a straight flush are the same as the odds of getting a royal flush. I lol'd at those posts. [/QUOTE]

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