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Therefore, on the nth "turn" after the first, the chance that is the killing shot is p^n (keep in mind p is less than one, so this is smaller than p^1 in the long run) if you split the turns between the players, you can unravel the infinite geometric series. ∑n=1∞ pn ∑ n = 1 ∞ p n. Example: the probability of the same color showing up 6 times in a row on an american roulette wheel is 1. The probability of seeing the same color appear on successive spins just over halves from one spin to the next. Same birthday as the first is given by 364/365. The probability that a third person does not share a birthday with the first two is then 363/365. Continuing in this vein, we find p(n) = 364 365 × 363 365 ×. × 365− n +1 365 = 365! 365n(365− n)! 1. 4 russian roulette reif §1. In the story that popularized (and possibly invented) the term "russian roulette" in 1937, the "game" is said to have originated in the russian army in 1917. The russian service revolver in 1917 had seven chambers. (it also could not be operated in the way described in the story. The player has a higher chance of survival if they take the two shots one after another, without turning the cylinder. In fact, if you turn the cylinder, the percentage of survival is the exact same as it was for the first shot, at 66. Russian roulette probability question. Russian roulette and conditional probability
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We know that if you spin the roulette your death probability is 1/3 and if we factor 'pull the trigger' approach factored with the 2 items above you have 6-2=4 spots. Since you want a lower probability of death you should choose ' pull the trigger approach'. 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 =5/6 a. Putting this together with the fact that a + b =1 gives a =6/11 and b =5/11. In the story that popularized (and possibly invented) the term "russian roulette" in 1937, the "game" is said to have originated in the russian army in 1917. The russian service revolver in 1917 had seven chambers. (it also could not be operated in the way described in the story. The first player has a revolver with 1 bullet. If he survive, we add one bullet to a chamber and spin the barrel. And so on, until the sixth player (if the others survive). I want to know a probability, that the revolver will come to the sixth player and i want to make it like a simulation. Consider the situation in which a person played russian roulette (one bullet, 6 chambers) until the bullet fires. Let x be the random variable that represents the number of shots until the game ends. Clearly, this number includes all shots, including the one in which bullet fires. Russian roulette (russian: русская рулетка, romanized: russkaya ruletka) is a potentially lethal game of chance in which a player places a single round in a revolver, spins the cylinder, places the muzzle against the head or body (of the opponent or themselves), and pulls the trigger
