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Puzzle #4 (Solved - No Winner)

 
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VJeyaa
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PostPosted: Fri May 09, 2008 8:49 am    Post subject: Puzzle #4 (Solved - No Winner) Reply with quote

A box with 2 coins

Imagine that you have two coins in a box and that one of the coins had heads on both sides, while the other had heads on one side and tails on the other. Question: if you remove one of these coins from the box and the visible side shows heads, what is the probabillity that the other side will also be heads?

This is an easy one. Wink
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Last edited by VJeyaa on Mon May 19, 2008 1:32 am; edited 2 times in total
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tgopal
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PostPosted: Fri May 09, 2008 10:06 am    Post subject: Reply with quote

0.5
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Kon_Roy
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PostPosted: Fri May 09, 2008 1:12 pm    Post subject: Reply with quote

tgopal wrote:
0.5

well...since gopal sarre gave 0.5...
I'll go with 1...lol....
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VJeyaa
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PostPosted: Thu May 15, 2008 3:41 pm    Post subject: Reply with quote

any more guesses? Rolling Eyes
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blackmafia
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PostPosted: Thu May 15, 2008 3:52 pm    Post subject: Reply with quote

0.5

Last edited by blackmafia on Thu May 15, 2008 5:24 pm; edited 1 time in total
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LoveSeeker
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PostPosted: Thu May 15, 2008 4:05 pm    Post subject: Reply with quote

0.000000
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rishi
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PostPosted: Thu May 15, 2008 5:08 pm    Post subject: Reply with quote

0.5 or 0.25 Rolling Eyes
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VJeyaa
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PostPosted: Thu May 15, 2008 11:42 pm    Post subject: Reply with quote

tgopal wrote:
0.5


care to explain the answer?

Gopal saare, as a maths lecturer Im sure u'd love to explain that. Wink
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Before you criticize someone, make sure you walk a mile in their shoes. That way, when you do criticize, you're a mile away and you HAVE THEIR SHOES.


Last edited by VJeyaa on Thu May 15, 2008 11:48 pm; edited 1 time in total
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VJeyaa
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PostPosted: Thu May 15, 2008 11:44 pm    Post subject: Reply with quote

guys.... this is not a guessing game. A puzzle needs to be solved methodically to arrive at the answer. Probably you could guess for riddles, not puzzles....hahaha Wink
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VJeyaa
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PostPosted: Fri May 16, 2008 11:29 am    Post subject: Reply with quote

Okay, I will reveal the answer by noon.... if no further attempts are made by anyone.
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tgopal
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PostPosted: Fri May 16, 2008 11:47 am    Post subject: Reply with quote

Quote:
care to explain the answer?


There are only 2 coins, with one had heads on both sides. So, the chances of taking coin 1 and coin 2 are 0.5 each.
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VJeyaa
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PostPosted: Fri May 16, 2008 12:05 pm    Post subject: Reply with quote

Well not really. If that is the case, then it would be too simplistic to be a puzzle. I did say its easy, but NOT that simplistic. Wink


Your answer would be right if the coins are identical but the problem is they are not. One of the coins has heads on both sides. You need to factor that one in order to see the correct probability. See below illustration;

There are two sets of coin "states" in the box:

H / H
H / T

And you randomly choose one coin, so there are 4 choices.
( ) indicates the coin you choose:

(H) / H
H / (H)
(H) / T
H / (T)

Option 4 is not valid, because you can see a head. That reduces the valid states to 3, and the chance the other side is a head is therefore 2/3.
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