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Edit "Somewhat Random Numbers"
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Mark 2025-02-10 08:38:52 -08:00
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@ -13,7 +13,10 @@ Bob generates 101 random numbers from $[0, 1]$, but deletes the lowest result.
Say we have both of the resulting arrays, but do not know who generated each one. \ Say we have both of the resulting arrays, but do not know who generated each one. \
We would like to guess which of the two was generated by Bob. \ We would like to guess which of the two was generated by Bob. \
What is the optimal strategy, and what is its probability of guessing correctly? - Say we assign the array with the smallest mean to Alice. \
What is our probability of guessing correctly?
- How often do we guess correctly if we instead assign \
the array with the smaller _minimum_ to Alice?
#solution([ #solution([