Chances Of Getting A Royal Flush Texas Holdem
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The total number of all combinations in two-player Texas Hold ’Em is combin (52,2) × combin (50,2) × combin (48,5) = 2,781,381,002,400. So, the probability of a four aces losing to a royal flush is 8,448/2,781,381,002,400 = 0.747, or about 1 in 165 million. Quad Aces (two aces in hole) lost to a Royal Flush. I'm sure the odds are exceptionally high but 2.7 billion to 1 sounds pretty crazy. Anyone good at figuring the precise odds here. Assuming quad aces with two in the hole, BUT the RF had either 1 OR 2 in the hole, the odds would be 1 in 1.646 Billion. And finally, the odds of both players having both cards to their hand in the pocket, 1 in 4.39 Billion.
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