two sides, America and Russia, are facing off in a deadly game.
america has the technological advantage, they have more missile silos, a total of 12.
however america only has 10 primary cities.
russia has the people advantage, they have 14 primary cities, but only 10 missile silos.
both sides want to disable each other's missile silos while causing maximum damage to the population, in order to win. both sides have an agreement that they will only fire 1/2 of their missile silos every "round" until one side has won or the other. there two ways to win, are either destroy all missile silos or destroy all the primary cities.
as an example game, in the first round, russia uses 2 missiles on the missile silos, and 3 missiles on the primary cities; while america uses 4 missiles on the missile silos and 2 missiles on the primary cities.
russia now has 6 missile silos and 12 primary cities while america has 10 missile silos and 7 primary cities.
in round 2, russia uses all 3 missiles on the primary cities, and america splits its attack again , using 2 missiles on the missile silos, and 3 missiles on the primary cities.
russia now has 4 missile silos and 9 primary cities, while america has 10 missile silos and 4 primary cities.
in the final round, russia trying for the knock out uses both missiles on the primary cities. america splits its attack and ends the game, using 4 missiles on the missile silos and 1 missile on the primary cities.
final result america wins, with 2 primary cities left and 10 missile silos while russia has 0 missile silos and 8 primary cities.
now, assume both sides use a random number generator to determine how many missiles they'll use on cities and on missile silos. what is russia's chances of winning?
(if a player has an odd number of missile silos he'll round up when firing.)
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two sides, America and Russia, are facing off in a deadly game.
america has the technological advantage, they have more missile silos, a total of 12.
however america only has 10 primary cities.
russia has the people advantage, they have 14 primary cities, but only 10 missile silos.
both sides want to disable each other's missile silos while causing maximum damage to the population, in order to win. both sides have an agreement that they will only fire 1/2 of their missile silos every "round" until one side has won or the other. there two ways to win, are either destroy all missile silos or destroy all the primary cities.
as an example game, in the first round, russia uses 2 missiles on the missile silos, and 3 missiles on the primary cities; while america uses 4 missiles on the missile silos and 2 missiles on the primary cities.
russia now has 6 missile silos and 12 primary cities while america has 10 missile silos and 7 primary cities.
in round 2, russia uses all 3 missiles on the primary cities, and america splits its attack again , using 2 missiles on the missile silos, and 3 missiles on the primary cities.
russia now has 4 missile silos and 9 primary cities, while america has 10 missile silos and 4 primary cities.
in the final round, russia trying for the knock out uses both missiles on the primary cities. america splits its attack and ends the game, using 4 missiles on the missile silos and 1 missile on the primary cities.
final result america wins, with 2 primary cities left and 10 missile silos while russia has 0 missile silos and 8 primary cities.
now, assume both sides use a random number generator to determine how many missiles they'll use on cities and on missile silos. what is russia's chances of winning?
(if a player has an odd number of missile silos he'll round up when firing.)
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