Math, asked by vidyakr6511, 1 year ago

You go to a party with 500 guests. What is the probability that exactly one other guest has the same birthday as you?

Answers

Answered by mindfulmaisel

The probability that exactly one other guest has the same birthday as you is 0.3483

Explanation:

Given:

You go to a party with 500 guests.

To find:

What is the probability that exactly one other guest has the same birthday as you.

Solution:

A year has 365 days, considering everyone has different birth dates, the probability that exactly one other guest has the same birthday is $\frac{499}{365}=1.367$

By Poisson Approximation, $\mathrm{e}^{-\mathrm{x}} \times \mathrm{x}=\mathrm{e}^{-1.367} \times 1.367=0.3483$

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Answered by Aɾꜱɦ

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#answerwithquality #bal

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