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 prefer to be married than eaten alive :).
Each of the doors has a statement written on it. 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 a 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?
Prisoner should open door number 2.
Lets assume statement on the first door is true then second statement will also be true(as there will be a lady in one door and a tiger in other door), but as we already know that only one statement can be true, so first statement can not be true.
Now if first statement is false, it implies these possible scenarios
|Door 1||Door 2|
But as second statement is true, so it means behind one of the door there is a lady and in other door there is a tiger so options with both lady and both tigers are ruled out and only third option remains valid, thus the prisoner should choose door number 2.