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Lê Quốc Trần Anh Coordinator

18/03/2018 at 07:45
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(#688 - 1000 best IQ questions in history)

THE SECRET DOOR

Imagine that you are in the TV show "The secret door" and has the chance to win a very expensive beautiful car. That car is behind only 1 of 3 doors that are not opened, and the two others are monkeys. After you'd chosen a door, the MC opened one door and behind that door is a monkey. You now have two choices: 

* Keep the door

* Change the door

What decision is better? Explain why.



    List of answers
  • ...
    Doan Le Minh Hong moderators 18/03/2018 at 14:25

    As we can see in this problem, we have 3 situations that may happen:

    Door 1 Door 2 Door 3
    Monkey Monkey Car
    Monkey Car Monkey
    Car  Monkey Money

    Assume that you choose door 1, you can see that the probability to win the car is one-third. If the MC shows door 2 or 3, you may think that now the chance is fifty-fifty, but in fact not. If you stay with door 1, the probability to win is still one-third; but if you change the door, the fact is that now the probability to win is two-thirds, so if you change, you are more ly to win. 

    Note: You can see the same problem on Google, 'The Monty Hall Problem', for an illustrated explanation.

    Lê Quốc Trần Anh selected this answer.
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    Lê Quốc Trần Anh Coordinator 18/03/2018 at 11:02
    Can you explain why?
  • ...
    Lê Anh Duy 18/03/2018 at 11:01

    Of course change the door. What is in your mind???????



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