no we shudnt change the choice....i think so....this is the famous monty hall problem...
Lets say you are in a gameshow. There are 3 doors in front of you, lets call them A, B and C. One of the doors has the prize money you are after. The remaining 2 doors have nothing behind them. You pick DOOR A.Now the game host, opens DOOR C and shows that it is empty and asks u, "Do you want to change your choice to DOOR B?". What do you do? In mathematical language, what is the probability that the prize money is behind DOOR B?
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9 Answers
thanx for mentioning the name sid
but the answer is it should be changed check it in wiki
i think it would have been better if the name woulnt have been mentioned :( It took me almost 3 days to solve this one on my own. anyways it would be good if someone could post his own solution :)
Has the host cracked his nuts? You pick door A, he says "Khulja Sesame" and opens door C? [3]
Whether it is monty hall or monty kitchen or monty bathroom, the prize money must either be behind A or B. So won't probability be 1/2 for both? PLS FORGIVE ME IF I'M BLABBERING AND CORRECT ME IF I'M WRONG,
that is the thing... it does not mean 1/2
Try to think more..
There is conditional probability involved!
@abhirup it would be better if you could post your OWN solution