Determination of probabilities through symetry consideration, Other Subject

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Determination of probabilities through symetry consideration

Discussion:

Determination of Probabilities through Symmetry Considerations

There are n students in a classroom. What is the probability for the fact that at least two of them have their birthday on the same day?

Solve the problem by working through the following questions:

(a) What is the number N of possibilities to distribute the n birthdays over the year (365 days)?

(b) How large is the number N' of possibilities for which all n birthdays are different?

(d) How large finally is the probability P that at least two birthdays are not different?

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Other Subject: Determination of probabilities through symetry consideration

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