Probability Of Royal Flush Texas Holdem
The odds against making a royal flush are 649,739-to-1. By comparison, the odds of making a straight flush, poker’s second strongest hand, are 0.00139%, with the odds against at 72,192.3-to-1. Calculating the odds of royal flush for Texas Hold’em requires different mathematics, as Texas Hold’em hands are made by choosing the best five. To calculate the probability for being dealt a royal flush in ONLY 5 cards, we can first find how many possible 5-cards hands exist in poker using combinations. The total number of 5 card hands is: (52 5) = 2,598,960 possible 5-card poker hands.
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