Russian Roulette Puzzle

Russian Roulette Puzzle: Revolver Puzzle

The solution to the Russian Roulette puzzle is given here.

Aman was caught stealing and brought in front of the King for justice. He pleaded to the King that he was a poor man and to show him some mercy. The King felt bad for him but couldn’t straight away forgive him as it would set a bad example. So instead he puts forward an alternative solution. He tells the man that he won’t hang him, but instead use a six-chambered revolver to shoot him. He would put two bullets into the chamber in successive order and spin the chamber and then take a shot. If the man does not die on the first shot, he can then choose to take another shot immediately or ask them to spin the chamber again before shooting. If he survives the second shot, he is free to go. The man agrees to this. The executioner comes and loads the revolver and takes a shot. It is a blank. Now the king asks the man whether he wants to take the next one or should he spin the chamber a second time. 

Questions:-

  • What should the man choose to survive?
russian roulette puzzle

Russian Roulette Puzzle: Revolver Puzzle

The solution to the Russian Roulette puzzle is given here.

Aman was caught stealing and brought in front of the King for justice. He pleaded to the King that he was a poor man and to show him some mercy. The King felt bad for him but couldn’t straight away forgive him as it would set a bad example. So instead he puts forward an alternative solution. He tells the man that he won’t hang him, but instead use a six-chambered revolver to shoot him. He would put two bullets into the chamber in successive order and spin the chamber and then take a shot. If the man does not die on the first shot, he can then choose to take another shot immediately or ask them to spin the chamber again before shooting. If he survives the second shot, he is free to go. The man agrees to this. The executioner comes and loads the revolver and takes a shot. It is a blank. Now the king asks the man whether he wants to take the next one or should he spin the chamber a second time. 

Questions:-

  • What should the man choose to survive?
russian roulette puzzle

Solution

  • He should take the next shot without spinning the revolver.
execution puzzle
  • The first shot was among the 4 empty chambers.
  • The bullets were placed one after the other, therefore one empty chamber is followed by a bullet and the other three empty chambers are followed by another bullet.
  • The probability of the next shot to be loaded is 1/4.
revolver puzzle
  • If the man opts for spinning the chamber the combination of the bullets changes.
  • Now the probability of the next shot being loaded increases to 1/2 of 50%.
  • While without spinning the probability is 1/4 or 25%.
russian roulette puzzle solution
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