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Consider a roulette wheel, where we are referring to the gambling wheel featured in casinos or...

Consider a roulette wheel, where we are referring to the gambling wheel featured in casinos or gambling parlors around the world. It is a wheel that has two green slots (the 0, and 00 slots on an American table; recall, American wheels are different than European wheels), 18 red slots, and 18 black slots. i) What is the probability it will take x = 1 trial or spin of the wheel before observing r = 1 green slot? ii) What is the probability it will take x = 30 trials or spins before observing r = 3 green slots? iii) What is the expected number of trials or spins before observing 3 green slots? iv) What is the expected value in this experiment? v) What is the variance in this experiment?

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