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5 votes

Revealing the least helpful of three numbers

This strategy is based on the answer to the previous question: What is Bndrew's chance of picking the right box?
Nitrodon's user avatar
  • 339
2 votes

Revealing the least helpful of three numbers

I claim that Let's start by formalizing the problem. Compare this to Tom Sirgedas' answer: We can apply a similar logic here: Small remark about the efficiency of this strategy: Open question:
PattuX's user avatar
  • 660
2 votes

Revealing the least helpful of three numbers

(Partial Answer) Let's consider a discrete version of the problem, where Andrew is secretly shown three distinct numbers from $\{1,2,3,...,N\}$. We'll show that for $N=6$, Andrew has a strategy that ...
Tom Sirgedas's user avatar
  • 1,728
-1 votes

Revealing the least helpful of three numbers

Retudin's user avatar
  • 9,316
14 votes
Accepted

Guessing whether the revealed number is higher

I claim that Bndrew wins of the time. Bndrew can guarantee winning with at least that probability with the strategy of Andrew can guarantee Bndrew wins with at most that probability with the ...
ralphmerridew's user avatar
4 votes

Guessing whether the revealed number is higher

Assuming optimal play, I think Bndrew cannot win more than Why?
Jujustum's user avatar
  • 4,147
3 votes

Unpaired socks in my lap

This answer solves the bonus question, of what the average maximum number of socks in your lap is. The answer is Python code here. I solved this with a dynamic programming method. Consider a complete ...
causative's user avatar
  • 314

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