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The probability of a royal flush in a poker hand is <math>p =1/649,40</math>.  How large must <math>n</math> be to render the probability of having no royal flush in <math>n</math> hands smaller than <math>1/e</math>?
The probability of a royal flush in a poker hand is <math>p =1/64940</math>.  How large must <math>n</math> be to render the probability of having no royal flush in <math>n</math> hands smaller than <math>1/e</math>?

Latest revision as of 12:08, 24 June 2024

The probability of a royal flush in a poker hand is [math]p =1/64940[/math]. How large must [math]n[/math] be to render the probability of having no royal flush in [math]n[/math] hands smaller than [math]1/e[/math]?