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Math help, please

the odds of a dealt royal are 1 in 649,740

-------------- Original message from "jerrygree" : --------------

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The other day at the Santa Fe, I was dealt a royal, without a draw. Later I
tried
to figure out what the odds of that happening are.
Not being particularly good at mathematics I came up with it being a 1 in
358,259 chance. This sounds preposterous, so will one of you math experts
tell me what are the actual odds of getting a royal on the first five cards
are.