Sharing your weekday of birth

Assume each person is equally likely to have been born on any of the 7 days of the week, independently. In a group of 10 other people, what is the probability that at least one shares your day-of-the-week of birth? (to 3 decimals)

Show hints (2)+
  1. Complement: nobody among the 10 shares your weekday.
  2. Each person misses with probability 6/7, so answer is 1 − (6/7)^10.

Answer

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0.786 (± 0.005)

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Asked at: Mixed Quant & Coding, Data-Driven Research

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