Russian roulette

Alternatives

In general, there is only one ball, and one uses a revolving barrel revolver with capacity of 6 balls, but one also can:

to use weapons having another capacity;
to place several cartridges in the barrel instead of only one, according to the Probability wished.

the Russian roulette can only be played or several, possibly by pointing the weapon not on oneself but on another participant.
Parfois, one turns the barrel between each attempt, “to give the probabilities to equity”, which does not achieve the laid down goal.
Sometimes, it is not the head which is aimed, but another part of the body, for example the Main.
By using a revolver not, but a Gun, one can only lose. Indeed, in this type of arms, a cartridge is automatically barrack room since the store is not empty and that the dog is armed. The Darwin Awards , quoting the Houston Chronicle , report that on February 28th, 2000, with Houston, a nineteen year old young man called Rashaad Taylor committed suicide while playing Russian roulette out of this manner, not realizing which it could only lose.

Probabilities

If the revolver is held with the horizontal one, the weight of the ball makes that the barrel tends to stop with the projectile being in bottom, thus increasing the chances that the shooting is done dry. The assertion that the chances are equal for each room of the barrel to be under the hammer is thus contestable. One of the solutions to avoid the influence of the weight of the ball would be to hold the weapon with the gun pointed downwards; the barrel turns then on a vertical and either horizontal axis.

For reasons of simplification, we will not take into account the influence of the weight of the ball on the result.

Terminology

Taking part: One of the players

P1, P2… Pn: participants 1 in N respectively.

T: The full number of participants in the play.

B: the number of balls in the revolver.

C: The number of rooms in the barrel.

Round (turn): A round takes place when a participant tries a shooting against itself with the revolver. For example, a normal part with B = 1 and C = 6 and the barrel not being put in rotation would not have a maximum of 6 rounds. We consider that P1 passes in first, then P2 and so on.

R 1, R 2… RN: Rounds 1 with N respectively.

To lose a round: the blow leaves.

To gain a round: the blow does not leave.

The part ceases with the first losing round.

Calculations

A Pn participant dies when X-ray results in a death and ${(X - N)} \ MOD {T}$ . For example, if there are 2 participants (T = 2) participant 1 dies if round 13 is a death: ${(13 - 1)} \ MOD {2}$ . By changing point of view, Pn loses any of rounds N, N + T, N + 2T… result in a loss (those can be represented by the formula $n + xT$ where X is a positive natural number or 0).

The most current form for part of Russian roulette has T = 2; B = 1; C = 6; P1 loses in rounds 1,3,5 and P2 with rounds 2,4,6.

If the cylinder is turned after each blow, the probability of losing a round is ${B} {C}$ . Alternatively, the probability of gaining a round is $1 - \ frac {B} {C}$ . However, the chances to arrive at round N decrease when N becomes larger. Because to arrive at round N, the rounds n-1, N2… must be gained. The probability that the part ceases with round N is $(1 - \ frac {B} {C}) ^ {(n-1)} * \ frac {B} {C}$ . Then, the probability that Px loses is $\ sum_ {k=0} ^n (1 - \ frac {B} {C}) ^ {(X + kT - 1)} * \ frac {B} {C}$ when N tends towards the infinite one. This can be simplified in $A^ {x-1}. \ frac {B} {C}. \ frac {1} {(1-A^T)}$ , where $A = 1 - \ frac {B} {C}$ .

In a standard part, P1 is likely 6/11 to lose, whereas P2 has 5/11 chances. It is thus preferable to pass in the last.

Notice also the part $A^ {x-1}$ of the equation. Has is increasingly smaller than 1, in this way when (x-1) increases, the probability of losing decreases. Thus, it is always better to pass in the last, independently of the number of participants and other parameters.

If the barrel is not turned after each blow, the probability of losing the part can be given by observing each possibility of configuration of the ball in the revolver. For example, in a standard part, if the ball were in position 3, participant 1 would lose. There exist six possible positions for the ball in a standard part: 1,2,3,4,5 or 6. Participant 1 loses if it is in position 1,3,5 (a chance of 3/6) and player 2 loses if it is in position 2,4 or 6 (a chance of 3/6). Each one thus has a probability equalizes to lose (1/2).

Another example is with 6 participants, 9 rooms and 1 ball. There are seven possible positions for this part: 1,2,3,4,5,6,7,8 or 9. P1 loses if the ball is in position 1,4,9 (a chance of 3/9), P2: 2,5 (2/9), P3: 3,6 (2/9), P4: 4,7 (2/9), P5: 5,8 (2/9), P6: 6,9 (2/9) and P7: 7 (1/9). In this case it is much more advantageous to pass last than first.

Russian roulette in the fiction

on October 5th, 2003, the magician Derren Brown exploited Russian roulette British television Chanel 4: several shootings on him (not of ball), then after a long hesitation it draws in a sandbag, and the ball left!
In season 3 of the series 24 hours stopwatch , the main character Jack Bauer is obliged to play Russian roulette when it is made prisoner.
Several scenes of Voyage at the end of the hell of Michael Cimino put in scene this “play”: the of torture ones force the prisoners to play Russian roulette. Not checked allegations give a report on a wave of suicides by this means which the film would have started.

Three teenagers rejouent this scene in Fatal Cursus with quills of beer.

In a scene of the film 187 code murder , Trevor Garfield interpreted by Samuel L. Jackson plays Russian roulette with two other characters, with a reference to Voyage at the end of the hell .
Johnny Depp plays Russian roulette in Arizona Dream .
In the series Lance and Compte: The reconquest , diffused in 2004, the main character, Danny Bouchard, was killed while playing Russian roulette.
In the film " 13 Tzameti" , the hero must take part in the play of the Russian roulette.
In the film " Live" of Bill Guttentag, presented at the time of the 33éme edition of the Festival of the American cinema of Deauville, a woman working for an American television wishes to explode the audience by exploiting the Russian roulette in an emission of tété-reality.
In the film Sonatine of Takeshi Kitano, this last fact a joke while making accept its subordinates that it ve to commit suicide while playing Russian roulette because it actuates the relaxation until the last blow. Making panic whereas it had withdrawn the ball.
In the grotesque tale Cataleptic the of Alexis Tchkotoua, published in the literary review the Russian roulette , the main character plays Russian roulette vis-a-vis a mirror, thus leaving with its reflection the initiative of the first shooting.

Psychoanalytical aspect (freudien):

attraction for the Play of the Russian roulette, and thus in spite of the morbid aspect that it represents, related to the Death instinct, is a suicidal Psychodrame , which is played behind the “ludic” aspect, (or " criminal " , when the " joueur" constrained is , under the threat exerted against hostages, to close relations, or innocent taken randomly, even: directly in its opposition.).

the shape of entry (initiare.), is done by " effraction" , in a superhuman dimension, (under the appearance of challenge " the aspect jeu" , which wants to be taken of risk, (here without considering the aspect " cheating ".), and takes place compared to the fundamental instinct of survival (known as: instinct of self-preservation, authentically animal.), which usually, and well normally, protects us from the death instinct.

the entry in (process of) “the Play” consequently places the player in position of perfect balance (and also: perfectly unstable.), between and death instinct life instinct, situation so much " extra-ordinaire" , that it could be compared only with that which would be lived by somebody being in the eye of the cyclone, it is a situation of " fifty-fifty" existential, “instantaneous”, where time solidifies, where the duration is not any more, a " suspens" , an unbearable intrigue comparable in the unconscious one with the ultimate reserve of the extreme tension preceding the ejaculation, one does not have besides a known example of the play of Russian roulette “to female”, (except case always possible and not impossible, of " contrainte" within a framework perverse).

See too

Suicide

References

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