Monty Hall, goats and 3 prisoners

(posts from old site)

Welcome to the game show!  I'm Monty Hall.  As you can see, there are 3 doors in front of you, A, B and C.

You are in for a prize!  Behind one of the doors is $1 mil!  For the other 2 doors, there is a goat behind each.  :D

Now, pick a door!

... Say you pick door A...

Ok, with door B and C, let me open a door with a goat!  (Monty opened door C.)

Now, contestant, let me give you 2 choices.  You may stick with door A or switch door B for $1 mil.

What do you do?

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There are 3 condemned prisoners, with 2 to be executed and 1 to be pardoned.

Prisoner A begs the warden to tell him which of the other prisoners, B & C, will be executed, arguing that this reveals no information to his own fate, but secretly thinking that it'll increase his odds of being pardoned from 1/3 to 1/2.

what do u think?