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Probability paradoxes Helmer Aslaksen
 

Summary: Probability paradoxes
Helmer Aslaksen
Department of Mathematics
National University of Singapore
aslaksen@math.nus.edu.sg
www.math.nus.edu.sg/aslaksen/sfm/
1
The Car and Goat Game
You're on a game show and you're faced with
three doors. Behind one of them is a car.
You're asked to pick a door, and you choose
door 1. Before the host opens it, she first
opens door 2, and you see that there's noth-
ing behind it. She then asks you if you are
sure about door 1, or if you want to switch
your guess.
Suppose you pick door 1 and that the host
opens door 2. The probability that the car
is behind 1 is 1/3, so you're probably wrong,
but after the host opened door 2, you know

  

Source: Aslaksen, Helmer - Department of Mathematics, National University of Singapore

 

Collections: Mathematics