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Roulette Wheel A roulette wheel contains 38 colored pockets. Two of the pockets are colored green,...

Roulette Wheel

A roulette wheel contains 38 colored pockets. Two of the pockets are colored green, 18 are colored red, and 18 are colored black. A small ball spins around the inside of the wheel and eventually falls and lands into one of the colored pockets. Each pocket has equal probability, and gamblers decides to place four bets at the roulette wheel, with all four bets on red. Let x be the number of times the participant bets correctly. What is the probability function of X?

Use the binomial probabilities formula to find P(x=4), P(x=3), P(x=2), P(x=1), and P(x=0).

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