The royal flush is a case of the straight flush. It can be formed 4 ways (one for each suit), giving it a probability of 0.000154% and odds of 649,739 : 1. When ace-low straights and ace-low straight flushes are not counted, the probabilities of each are reduced: straights and straight flushes each become 9/10 as common as they otherwise would be.. How to mathematically determine the chance of getting a ROYAL FLUSH in 5 card poker.

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The odds of getting a royal flush is 0.000154. I’ve never gotten one, I just took the cards out

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The odds of making a five-card royal flush out of a 52-card deck are 4/2,598,960. This translates to a 0.000154% chance of making poker's ultimate hand. The odds against making a royal flush are 649,739-to-1. Note: Want 10 quick tips that will help you win at poker? Get this free guide if you want to come out on top.. Let's assume you play for 8 hour at a speed of 400 hands per hour, or 3200 hands total. The probability that one hand is a royal flush is 0.00002476. The probability of getting zero royals in 3200 hands is (1-0.00002476) 3200 = 0.923825. The probability of getting one royal is 3200*0.923825*(1-0.923825) 3199 = 0.073198. So the probability of.