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The probability of meeting a random person who has the same birthday as you is 1/365 , which is approximately 0.27%. What is the probability that it takes meeting more than 40 people before you meet someone who has the same birthday as you?

Respuesta :

MathPhys

Answer:

89.6%

Step-by-step explanation:

The probability a random person shares your birthday is 1/365, or 0.27%.  That means the probability that they don't share your birthday is 364/365, or 99.73%.

So the probability that you meet 40 people who don't share your birthday is:

P = (364/365)^40

P = 89.6%

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