This isn't really a puzzler like the last one, but I find the answer interesting...

The warder comes to a prisoner's cell with 3 boxes and says: "I've placed a
key in one of these 3 boxes.  If you can pick the box it is in, you may go free".

The prisoner picks a box, then the warden selects a different one,  opens it to
reveal it is empty, and then says: "Would you like to switch your chosen box
with the remaining unopened box?".

You can assume the warden would have offered the switch regardless of
which box the prisoner had chosen (ie: key or not).  Should the prisoner
switch boxes?  What are his odds of freedom if he does?

-Bry

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