A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36.The slots 0 and 00 ar

Question

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?

Explanation / Answer

as there are 38 probable outcome

hence a)probability that the ball lands on the number 27 =1/38 ; cause 27 is one event out of 38 total events

b) probability that the ball does not land on the number 27 =1-P(27 will not appear) =1-1/38 =37/38

c)as all events are independent, hence all events will have same probability on any event.

probability that the ball lands on the number 27 on the tenth spin =1/38

d) as there are 18 odd numbers in number from 1 to 36.

hence  probability that the ball lands on an odd number =16/38

e)as there are total 2 compartments with green color

hence probability that the ball lands on a green colored compartment=2/38

f)as there are total 20 green and black compartments

hence probability that the ball lands on a black or green compartment=20/38

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