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Cool goIITian

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25 Feb 2008 21:15:23 IST

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Monty Hall problem

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This puzzle (also called the Monty Hall problem) has become fairly famous. If you've never seen it, you won't believe the answer that I will give below.And do give me Rates if its useful 2 u

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Siddharth Bora

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Joined: 31 Jan 2008

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25 Feb 2008 21:15:49 IST

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Suppose that Monty Hall (on TV's Let's Make a Deal) asks you to choose between three doors: #1, #2, and #3. Behind a random door is a new Rolls Royce. Behind each of the other two doors is a goat. Let's assume that you would prefer a Rolls Royce to a goat. You choose a door. Now, Monty, who knows which door hides the Rolls Royce, shows you a goat behind one of the two doors that you did not choose. He then gives you the opportunity to change your choice. Assume that Monty always does this, regardless of your guess. Should you change your choice?

Hint:The Monty Hall problem is a celebrated problem not only in mathematics but also in psychology since almost 90% of general population and almost 60% of the academic (math/statistics guys) get it wrong and then refuse to accept the correct solution.

anchit saini

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25 Feb 2008 21:42:33 IST

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yes we should

James Bond

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25 Feb 2008 21:45:00 IST

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Thanks...I liked it...:)

Yup, we should change our choice....

anshul sharma

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25 Feb 2008 21:45:41 IST

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http://en.wikipedia.org/wiki/Monty_hall_problem

too difficult to understand da solution

Aditya Arora

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25 Feb 2008 21:46:47 IST

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I don't think so .

We should stick to our choice.

anchit saini

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25 Feb 2008 21:51:58 IST

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here is my soln (which i already know)

his probability of winning will increase from 1/3 to 2/3 cos before there is one car and 2 goats hence the probability of him having chosen the car is 1/3
now , the goat is shown so
either the player has chosen the car or he has chosen the first goat or he has chosen the 2nd goat . so there are 3 possibilities and if he switches then he either gets the goat (in first case) or he gets the car in both the left cases
thus now the probability is 2/3

smart_boy198062

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26 Feb 2008 14:23:43 IST

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I agree with anchit

Siddharth Bora

Cool goIITian

Joined: 31 Jan 2008

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26 Feb 2008 21:23:57 IST

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uup anchits got it right

suhail

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Joined: 23 Mar 2008

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20 May 2008 23:00:39 IST

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yup, v shud change coz da prbly of da prize is 2/3. no fancy or verbose math, jss put down ol possibilties. this is a famous problem in all spheres.

Shaifali Saxena

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30 Mar 2009 03:34:02 IST

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question badhia tha,pehli baar padhne pe ans unpredctiable tha...

HeMaNt..... ThE DeViL....

Blazing goIITian

Joined: 22 Jul 2008

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30 Mar 2009 12:05:17 IST

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very nice....

Nitish_born 2day

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12 Apr 2009 18:53:54 IST

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it's very good n different.........

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