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Stow_judge
23 Oct 14 14:28
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Date Joined: 10 Mar 01
| Topic/replies: 10,954 | Blogger: Stow_judge's blog
You play a game of Russian roulette with another person, is it better to go first or second?

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Replies: 17
By:
Ozymandius
When: 23 Oct 14 14:32
First, apparently, assuming the barrel is not rotated after each shot.

If the barrel is rotated after each shot it doesn't really matter, so best let the other numpty go first in case he gets unlucky.
By:
doantwin2easy
When: 23 Oct 14 15:57
a much enjoyed and entertaining game whichever way you look at it
By:
Stow_judge
When: 23 Oct 14 16:42
There is no way I'd go first!

The answer, according to Plus Maths Magazine is that it's better to go first. Here's their explanation:
Let a be the chance that the person to shoot first wins the game and let b be the chance that the person to shoot second does, so a+b=1. Suppose that you go first. The probability b that your opponent wins is equal to the probability p that he or she survives your first shot times the probability q that he or she wins the game from then on, after having survived the first shot. Since 5 of the 6 chambers are empty and each has an equal chance of containing the bullet, we get p=5/6. Once your opponent has survived the first round, he or she turns into the player to go first, with probability a of winning the game, so q=a. This gives b=5/6a. Putting this together with the fact that a+b=1 gives a=6/11 and b=5/11. Hence you have a greater chance of winning if you take the first shot.
By:
naydam
When: 23 Oct 14 19:16
How is one defining 'winning'?
By:
PatraTheCat
When: 24 Oct 14 00:38
I thought that with Russian roulette you pointed the gun at your own head. Didn't everybody else think that?

In which case it's obviously better to go second if the barrel is rotated.
If the barrel isn't rotated, it obviously doesn't matter.
By:
yorky
When: 24 Oct 14 00:42
if it got to shot 6 and you were both still alive is it over or are you obliged to shoot yerself ,whats the official rules
By:
Pokermonster
When: 24 Oct 14 00:46
You sure as hell wouldn't want to be shooting fifth because you'd be fúcked either way.
By:
ebulGery
When: 24 Oct 14 02:30
Must be first...1 in 6 of real bullet

2nd 1 in 5

Christopher Waldren was good at this in the 'Deer Hunter' he survived for years playing this
By:
ebulGery
When: 24 Oct 14 02:36
also on 2nd round

you are 1/4 against 1/3

and on last round you are 1/2 against 1/1Sad

oh I see...stow judge worked all that out up the thread
By:
naydam
When: 24 Oct 14 02:39
You should always spin between turns...so the safer bet is to go second (assuming the game stops when the gun fires).
There was a scene in a film where they were pulling the trigger twice but I assume that, when the gun was passed to next player, the chamber would be spun again. Otherwise there would be no tension because you would know when the bullet was occupying the next firing chamber.
By:
ebulGery
When: 24 Oct 14 02:41
this is if it is not respun every time

if it is respun, you are always better off going 2nd, that gives you one less chance
of killing yourself than your opponent
By:
ebulGery
When: 24 Oct 14 02:41
oh dear..naydam beat me to that one as wellBlush
By:
ebulGery
When: 24 Oct 14 02:42
assuming the game stops when the gun fires

I suspect that may be the caseLaugh
By:
U.A.
When: 24 Oct 14 06:49
Yeah Plus Maths Magazine are wrong. Seems like they are trying to make something more complicated than it is. The answer is the probability of winning is the same whether you go first or second, assuming 1 bullet and the chamber not being respun.

Say Player A goes first and B goes second.
At the start when the decision is made if the bullet is in chamber 2, 4 or 6 then player A wins. If it is 1,3 or 5 then player B wins.
The chance of it being in 2, 4 or 6 is 50%, same as 1, 3 or 5.

If your asking whether it's better to go first or second after 1,2,3 plus shots have been fired then that's different but at the beginning when no shots have been fired the probability is the same.
By:
morpteh mackem
When: 24 Oct 14 08:52
find it a great game to play after xmas dinner, just before charades
By:
dunlaying
When: 24 Oct 14 14:48
Stow,by winning do they mean blowing one's head apart? I have it the other way round .
By:
dunlaying
When: 24 Oct 14 16:43
I have put up one idea for a solution on the blog pages.
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