Birthday Paradox Formula

The given below is the birthday paradox formula which will be useful for you to solve your same birthday probability problem on your own with the known value of the number of persons in a group.

Same Birthday Probability Formula

Formula:

p(n) = 1 - (365! / (365n x (365 - n)!))


Where,

n = Number of Persons in a Group
p(n) = Probability with Same Birthdays

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As birthday paradox problems are one of the important problems in the competitive exams, so the above given same birthday probability formula will be very useful for the candidates who are preparing for it.

To use this Birthday paradox formula, all you need is the input value which is the number of persons in a group. By knowing it, with basic operations such as multiplication, division, and factorial operations you can find the probability. The probability result found using this same birthday probability formula will be in percentage.


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