Monty Hall Problem

The host of a game show offers the guest a choice of three doors. Behind one is an expensive car, but behind the other two are goats.
After you have chosen one door, he reveals one of the other two doors behind which is a goat (he wouldn't reveal a car).

Now he gives you the chance to switch to the other unrevealed door or stay at your initial choice. You will then get what is behind that door.

You cannot hear the goats from behind the doors, or in any way know which door has the prize.

Should you stay, or switch, or doesn't it matter?




Similar Riddles

The king of Octopuses has servants who have six, seven or eight legs. The distinguishing characteristics of the servants is that the one with seven legs always lie but the one with either six or eight legs speak the truth always.

One day, four servants meet and converse:

The black one says, 'We have 28 legs altogether.'

The green one says, 'We have 27 legs altogether.'

The yellow one says, 'We have 26 legs altogether.'

The red one says, 'We have 25 legs altogether.'


Can you identify the colour of the servant who is speaking the truth?

Servants with multiple legs

Asked by Neha on 09 Apr 2021


There is something which is always coming but never arrives?

Asked by Neha on 08 Mar 2024

On rolling two dices (six-sided normal dice) together, what is the probability that the first one comes up with a 2 and the second one comes up with a 5?

Asked by Neha on 08 Oct 2023


I make a loud sound when I’m changing. When I do change, I get bigger but weigh less. What am I?

Asked by Neha on 25 Aug 2025

A patient was diagnosed with some ailment. He was given five different tablets to take at night at an interval of 15 minutes.

How long will it take the patient to consume all the five tablets?

Asked by Neha on 02 Jul 2024

Can you discover the missing number in this series?

37, 10, 82
29, 11, 47
96, 15, 87
42, ?, 15

Asked by Neha on 14 Nov 2024


Which English verb becomes past tense just by rearranging the letters?

Asked by Neha on 07 Sep 2025

What does this rebus puzzle means ?

Rebus Picture Problem

Asked by Neha on 18 Jul 2023

John is 45 years older than his son Jacob. If you find similarities between their ages, both of their ages contain prime numbers as the digits. Also, John's age is the reverse of Jacob's age.

Can you find their ages?

Asked by Neha on 11 Sep 2024


A Doctor always sneezes before the rain. Doctor sneezes, Will it rain?

Asked by Neha on 24 Jul 2024

Hot Articles

Amazing Facts

Word ladder puzzle

The word ladder puzzle was invented by Lewis Carroll, author of Alice’s Adventures in Wonderland.