Even-size subset

A subset of {1,,10}\{1,\dots,10\} is chosen by including each element independently with probability 1/21/2. What is the probability the subset has even size?

Show hints (2)+
  1. Even and odd binomial coefficients sum equally.
  2. Each total is 2^(n−1).

Answer

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0.5

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Asked at: SIG, Two Sigma

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