Prisoners puzzle

A prisoner is faced with a decision where he must open one of two doors.
Behind each door is either a lady or a tiger. They may be both tigers,both
ladies or one of each.

If the prisoner opens a door to find a lady he will marry her and if he opens
a door to find a tiger he will be eaten alive.Of course,the prisoner would be
prefer to be married than eaten alive.

Each of the doors has a sign bearing a statement that may be either
true or false.The statement on door one says,"In this room there is a
lady,and in the other room there is a tiger."

The statement on door two says,"In one of these rooms there is lady,
and in one of these rooms there is a tiger."

The prisoner is informed that one of the statements is true and one is
false.

Which door should the Prisoner open?


Solution
there are two possibilities

possibility#1
>>statement on door 1 is true and statement on door 2 is false.
but this possibility is not feasible because if it is confirm that door 1 has lady and door 2 has tiger then the statement on door 2 can't be wrong because it states that " In one of these rooms there is lady,
and in one of these rooms there is a tiger."

So this possibilty is not feasible.

possibility#2
>>statement on door 1 is false and statement on door 2 is true.
this possibilty is feasible beacase the true statement says "In one of these rooms there is lady,
and in one of these rooms there is a tiger."
and false one thats on door 1 says "In this room there is a
lady,and in the other room there is a tiger."
now correcting this false statement we get our answer i.e. there is tiger behind door 1 and lady is behind door 2.


Prisoner must open door 2..... but Pray that LADY MUST BE BEAUTIFUL