In the movie Casino, the executive of the Tangiers Casino, Sam Rothstein (Robert De Niro), fired the manager of the slot machines in the casino after three gamblers hit three "million dollar" jackpots in a span of 20 minutes. Rothstein claimed that it was a scam and that somebody had gotten into those machines to set the wheels. He was especially annoyed at the slot machine manager's assertion that there was no way to determine this. According to Rothstein, the odds of hitting a jackpot in a four-wheel machine is 1 in 1 (1/2) million, and the probability of hitting three jackpots in a row is " In the billions." " It cannot happen! It will not happen! " To see why Rothstein was so indignant, find the odds of hitting the jackpots in three of the machines in quick succession and comment on the likelihood of this happening.
In the movie Casino, the executive of the Tangiers Casino, Sam Rothstein (Robert De Niro), fired the manager of the slot machines in the casino after three gamblers hit three "million dollar" jackpots in a span of 20 minutes. Rothstein claimed that it was a scam and that somebody had gotten into those machines to set the wheels. He was especially annoyed at the slot machine manager's assertion that there was no way to determine this. According to Rothstein, the odds of hitting a jackpot in a four-wheel machine is 1 in 1 (1/2) million, and the
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