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P(You're right)
  = P(You're handed x)*P(You don't think that x is larger)
    + P(You're handed y)*P(You think that y is larger)
  = 0.5 * (1 - p(x)) + 0.5 * p(y)
  = 0.5 + 0.5*(p(y) - p(x))

     (Right if handed the larger) |
     <----------------------------|
...
               |
               |------------------------------->
               | (Right if handed the smaller)