Maths Puzzle

[Mohsin]

I was hoping somebody else could put some up. Ok I know of a couple of realy old classic ones that you may have heard of before


There are 3 guys in jail.

They are all 20 year old maths geniuses, but ended up taking a criminal route in life and thus end up where they are. They all have 10 years to serve in prison.

Ok the judge wants to test out the maths levels of these guys, so he devises a little test.

He lines the three of them up, one behind the other

The person at the front can not see the person behind him. The person in the middle can see the person infront of him, but can not see the person behind him, and finally the 3rd person can see both of the people in front of him.

Ok the judge then shows them a box. In the box there are 5 hats:- 3 red hats, and 2 blue hats

The 3 people in jail are cuffed and blind folded, and a hat is placed on each persons head. All 3 end up wearing 3 red hats.

The blind folds are taken off, but they remained cuffed up, and are not allowed to ask anyone what they are wearing

The judge then tells them if they are able to work out which hat they are wearing, then they will be allowed to be let out of jail free. If they guess and get it wrong they face the death penalty, and if they dont say anything then they simply serve out their 10 year sentence

So the question is, who walks out? All 3 of them are wearing red hats. None of them know what they themselves are wearing. person 1, is at the front of the line and can not see anybody, person 2 behind him can see person 1 is wearing a red hat, but that doesnt give him any idea as to what he himself is wearing, and finally person 3 can see both people in front of him wearing a red hat, but knows that in the box there were 3 red hats and 2 blue hats, and he could be wearing a blue hat or a red hat.

So who walks?

Also, as I mentioned, it is quite old, so if you have heard it please give other bros and sisters a chance

Wsalam

Since nobody is gong to guess this, I an going to give the answer, and its entirely logical. The answer is the first guy walks, even though he cant see anything, this is why;

Ok all 3 of them are wearing red hats yeah, they just dont know what they themselves are wearing.

The guy at the back of the 3 can see the two people in front of him, and he can see that they are both wearing red hats. That doesn't help him much, as there is still a chance that he could be wearing a red hat or a blue hat.

But the key here is the guy at the front knows that the two guys at the front both can not have blue hats on, because if the guy at the front and the guy in the middle both had blue hats on, the maths genius at the back weould have realised that the only hat he could be wearing is red since there were only 2 blue hats in the original box.

However since he stays silent, the guy in the middle and at the front both know they both cant be wearing blue. I hope this is clear so far

Ok, next, how does the guy at the front realise then?Basically its an elimanation process. He thinks "IF I was wearing a blue hat, then the guy in the middle should be walking out, or the guy at the end should be walking out. This is because if I had a blue hat on, and in the middle guys case he also had a blue hat on, the guy at the back would have said something and walked. But If I have a blue hat on, and the guy in the middle doesnt, and the guy at the back can see all of this, then the guy in the middle should realise "the guy at the front has a blue hat, If I had a blue hat the guy at the back should realise he has a red hat, but since he is staying quiet it means I must have a red hat" However he also stays quiet, which must mean the only other possibility left is I am wearing a red hat!"

Hope tahst clear to you guys, I cant think of an easier way to explain it

 

[khushnood]

salam!i was getting impatient.well,it was a good one