Re: Two-envelope problem

[Trinh Anh Tuan <s7593tri@sun10.vsz.bme.hu>]

   Hi all,

 I have an naive approach to this problem.

 Since two envelopes look identical,then the probability of choosing a
bigger/less amount containing envelopes for the first choice are 1/2
and 1/2, respectively.If no info added,then the amount of money inside
each envelope does not depend on whether we look at it or not,thus two
events (choosing and looking) are independent,which means that,whether
you take a risk or not,the PROBABILITY of getting a bigger amount
containing
envelope is still 1/2.

(For fun)
If some info added,suppose that i want to buy a gift for my girlfriend
for her birthday and it costs somewhere between 150$ and 200$,say,180$ -
then surely i will take a  risk since for that gift neither with 50$ nor
with 100$ i could not anyway.
Let's suppose again,i am a millionaire,and i alone without any money.I
have to go home in time for an important arrangement,so i should call
a taxi.It costs me 75$. What would i do ?

And what would you do ?

Cheers.

--Tua^'n.
 

On Thu, 17 Apr 1997, Tuan V Nguyen wrote:

> Hello folks,
> 
>         I have the following problem which may be interested you:
> 
>         There are two envelopes containing money. One 
> envelope contains twice as much as the other, however since the 
> envelopes look identical you cannot tell one apart from the 
> other. You choose one envelope and you see that it contains 
> $100. Is it better to keep the $100 or choose the other 
> envelope?
> 
>         Any idea ?
> 
>         Tuan
> 
>