# Will you prefer to go first or second if you are given a choice ?

0 votes
121 views

You are stuck with a gangster who likes to play it rough. The only way to survive is to accept his invitation to play Russian Roulette.

He presents a revolver in which, three bullets have been placed consecutively. Now he spins the chamber cylinder of the gun. The cylinder wont be spun again. The gun will be passed between both of you till the gun fires and one of you is dead.

Will you prefer to go first or second if you are given a choice ?

posted Jul 27, 2015
Share this puzzle

## 2 Answers

0 votes

Going second will double your chance of survival.
As the bullets are in consecutive chambers, lets call them chamber 1, 2 and 3.

If the starting chamber is 1, 2, 3 or 5 will be fatal for whoever goes first.
If the starting chamber is 4 or 6 will be fatal for whoever goes second.

answer Jul 29, 2015 by
0 votes

Answer: choose to go second, you have a 4/6 or 2/3 chance of winning.

Let us label the chambers for our convenience as C1, C2... C6.
Now, when the cylinder is spun, there can be the following six outcomes.
1. If C1 is fired first: Player 1 dies.
2. If C2 is fired first: Player 1 dies.
3. If C3 is fired first: Player 1 dies.
4. If C4 is fired first: Player 2 dies (First shot, player 1, C4 empty. Second shot player 2, C5, empty. Third shot player 1, C6 empty. Fourth shot player 2, C1 not empty.)
5. C5 is fired first: Player 1 dies (First shot, player 1, C5 empty. Second shot player 2, C6, empty. Third shot player 1, C1 not empty.)
6. C6 is fired first: Player 2 dies (First shot, player 1, C6 empty. Second shot, player 2, C1, not empty)
Therefore, if you choose to go second, you have a 4/6 or 2/3 chance of winning.

answer Sep 26, 2017

Similar Puzzles
+1 vote

Someone shows you two boxes and he tells you that one of these boxes contains two times as much as the other one, but he does not tell you which one this is. He lets you choose one of these boxes, and opens it. It turns out to be filled with \$10. Now he gives you the opportunity to choose the other box instead of the current one (and skip the \$10 of the first box), because the second box could contain twice as much (i.e. \$20).

Should you choose the second box, or should you stick to your first choice to maximize the expected amount of money?

+2 votes

Two cowboys played a strange deathmatch.

DeathMatch Rules:
1. They both need to fire 23 bullets in total.
2. They will shoot one by one.
3. They can shoot once or twice in their chance.
4. The one that shoots last i.e 23rd shot needs to fire bullets at himself.

If you are one of the cowboys, will you shoot first or second?

0 votes

Welcome to the deadly game placed by the serial killer Jigsaw. You are tied to a chair and you cant move your hands or get up. Jigsaw shows you an empty gun with all the six chambers empty. He puts two bullets in the adjacent chambers and then close the barrel. He spins it and then point the gun to your head. The first shot snaps. It was an empty slot.

Now before pressing the trigger again, he asks you whether to pull the trigger or to spin the barrel first and then pull the trigger.

If the second shot goes empty, you will be spared by him. What will you choose?

Also think what will you chose if the bullets are not in the adjacent chambers.

0 votes

There is a prison with 100 prisoners, each in separate cells with no form of contact. There is an area in the prison with a single light bulb in it. Each day, the warden picks one of the prisoners at random, even if they have been picked before, and takes them out to the lobby. The prisoner will have the choice to flip the switch if they want. The light bulb starts in the Switched off position.

When a prisoner is taken into the area with the light bulb, he can say "Every prisoner has been brought to the light bulb." If this is true all prisoners will go free. However, if a prisoner chooses to say this and it's wrong, all the prisoners will be executed. So a prisoner should only say this if he knows it is true for sure.

Before the first day of this process begins, all the prisoners are allowed to get together to discuss a strategy to eventually save themselves.

What strategy could they use to ensure they will go free?

0 votes

A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold.
What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?