# Prisoner and two Doors Puzzle

Problem:

Court takes decision to relax the sentence given to criminal if he can solve a puzzle. Criminal has to take decision to open one of the doors.

Behind each door is either a lady or a tiger. They may be both tigers, both ladies or one of each.

If the criminal 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 criminal 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 criminal is informed that one of the statements is true and one is false. Which door should the criminal open?

Solution:

Criminal should open door number 2.

How?
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
Tiger Tiger

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 criminal should choose door number 2.

### 4 Thoughts on “Prisoner and two Doors Puzzle”

1. maharaja on November 9, 2013 at 1:00 am said:

Can you Send Me More logical Puzzle of this kind

2. deepshikha on November 30, 2014 at 3:37 pm said:

Since only 1 is true, if we assume statement 1 is true then statement 2 must be false. Therefore first cannot be possible because it will contradict (both will have lady or tiger each). So if we assume 2nd statement is true then first is false, which implies opposite is true that is room 1 has tiger and 2 has lady. He open door 2.

3. Benjamin on July 9, 2016 at 8:38 am said:

please mail me more math and logical puzzles

4. Benjamin on July 9, 2016 at 8:39 am said:

can you send me math and logical puzzles