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7 votes
Accepted

Keys and Locks Puzzle

The exact condition is Actually, something slightly stronger is true: A strategy is winning if and only if We can prove this equivalence by an application of Suppose we are handed any strategy. ...
Tim Seifert's user avatar
  • 1,046
4 votes

Keys and Locks Puzzle

I thought of it in terms of a Suppose Can this always be done?
Tyler Seacrest's user avatar
11 votes

Keys and Locks Puzzle

I believe the condition is: This condition is sufficient. Is this condition necessary?
Florian F's user avatar
  • 30.6k
6 votes
Accepted

Gold and silver coins in sealed envelopes

I feel like someone should discuss the axiom of choice in an answer. Bob's strategy First, let's consider a modified puzzle where Alice only has a finite number of gold coins. Here's a strategy Bob ...
tehtmi's user avatar
  • 3,316
5 votes

Gold and silver coins in sealed envelopes

Bob can't do better than 50%. I admittedly don't follow all the axiom of choice discussion, but intuitively, Bob cannot do better than random chance. All the envelopes are filled independently - the ...
Nuclear Hoagie's user avatar

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