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Probability of Royal Flush losing (percentage)

Last modified by
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Jul 24, 2020, 6:28:07 PM
Created by
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Apr 8, 2014, 8:06:38 AM
Probabilityroyal flush loss=∑ProbabilitiesGreater Value HandsProbabilityroyal flush loss=∑ProbabilitiesGreater Value Hands
Highest Card ValueHighest Card Value
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Probability Combinatorics Poker Card Games chance
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b5a7a7b6-bef4-11e3-9cd9-bc764e2038f2

This equation defines the probability that another hand can beat your Royal Flush and this probability is expressed as a percentage.  The Royal Flush hand can only be beaten a Royal Flush with a higher top card.  See Notes Page for further explanation.

Notes

The probability that you can be beat is the probabilities of any Royal Flush that can beat your Royal Flush, the probability of being dealt a Royal Flush with a higher top card value. Each of those probabilities is based on the ratio of the combinations of ways to be dealt those winning hands to the number of five card hands possible,(525). The total number of five card hands possible is computed as (525) (see the constant defining number of five card hands).
This equation, Probability of Royal Flush losing (percentage), references 1 page
This equation, Probability of Royal Flush losing (percentage), is used in 1 page
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