Roulette wheels in Monte Carlo have no double zero, so there are 37 numbers on a wheel. a. What is the probability of getting an even number on one spin of a roulette wheel in Monte Carlo? Express your answer as a fraction and as a percentage rounded to one decimal place. b. You spin a roulette wheel in Monte Carlo 26 times. What is the probability of getting an even number on all 26 spins? Express your answer as a fraction, then express the chances using a phrase such as “1 in 5 billion.†c. In 1913, at one fair roulette table in Monte Carlo, an even number came up on 26 spins in a row. What was the probability of getting an even number on the 27th spin? d. Explain how the historical event described in part c is consistent with the law of large numbers.
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