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The probability that 25 random people don't ALL share the same birthday is:

1 - (1/365)**24, or about 0.999999999999999999999999999999999999999999999999999999999999968

However, I suspect you meant to ask "What is the probability that 25 random people all have different birthdays?" That is:

1 * (364/365) * (363/365) * (362/365) * ... * (342/365) * (341/365) = 0.4313

So about 43% of the time nobody will share a birthday, and 57% of the time, two or more people will share a birthday.

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13y ago
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Q: What is the probability that 25 people dont share the same birthday?
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