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A stochastic dominance property common to the boy-or-girl paradox and the lottery

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  • Pollak, Moshe

Abstract

We show that the number of boys in an n-child family that has at least s boys is stochastically smaller than when it is known that the first s children are boys. We apply this to a lottery.

Suggested Citation

  • Pollak, Moshe, 2013. "A stochastic dominance property common to the boy-or-girl paradox and the lottery," Statistics & Probability Letters, Elsevier, vol. 83(1), pages 410-413.
  • Handle: RePEc:eee:stapro:v:83:y:2013:i:1:p:410-413
    DOI: 10.1016/j.spl.2012.10.005
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    1. Carlton, Matthew A. & Stansfield, William D., 2005. "Making Babies by the Flip of a Coin?," The American Statistician, American Statistical Association, vol. 59, pages 180-182, May.
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