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A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36.The slots 0 and 00 are colored green, 18 of the others are red, and 18 are black. The dealer spins the wheel and at the same time rolls a small ball along the wheel in the opposite direction. The wheel is carefully balanced so that the ball is equally likely to land in any slot when the wheel slows. Gamblers can bet on various combinations of numbers and colors.
a. What is the probability that the ball lands on the number 27?
b. What is the probability that the ball does not land on the number 27?
c. What is the probability that the ball lands on the number 27 on the tenth spin?
d. What is the probability that the ball lands on an odd number?
e. What is the probability that the ball lands on a green colored compartment?
f. What is the probability that the ball lands on a black or green compartment?
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