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In a statistics class with 36 students the professor wanted to know the probability that at least two students share the same birthday. The probability would be

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Onyebuchinnajiidn

The probability that at least two students share the same birthday is 83.22 %.

Probability of sharing the same birthday

  • Let P(A) = Probability that no two students share same birthday
  • Let P(A') = Probability at least two students share same birthday

There are 365 days in year and there 36 students in the class.

Total sample space, n = 365³⁶

36 students will be selected as [tex]365P_{36}[/tex]

[tex]P(A) = \frac{365P_{36}}{365^{36}} = 0.1678[/tex]

Probability at least two students share same birthday

P(A') = 1 - P(A)

P(A') = 1 - 0.1678

P(A') = 0.8322

P(A') = 83.22 %

Learn more about probability here: https://brainly.com/question/24756209

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