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Stats probability question?

what is the probability that at least 2 share the same bday in a group of 5?

Really confused. If you can also explain what you did that would be awesome!

1 Answer

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  • M3
    Lv 7
    1 decade ago
    Favourite answer

    let us first find out the probability that none share a birthday

    we take the year to be of 365 days

    1st man could have any of 365 birthdates,

    the 2nd man any of the remaining 364 & so on & so forth to give

    P[none share birthday]

    =[365/365][364/365][363]/365][362/365][361/365]

    = 0.9729

    so P[at least 2 share a birthday] = 1 - 0.9729

    ans : 0.0271 or 2.71%

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