15. Roulette Whoels In Los Vegas Have 38 Pockets. They Are All Mumbered 0, 00, And 1 Through 36. Of All 38 Pockets, There Are 18 Red, 18 Are Black, And 2 Are Green Each Time The Wheel Is Spun, A Ball Lands In One Of The Pockets, Is Equally Likely. And Each Pocket (A) (2 Points) If You Spin The Wheel Twice, What Is The Probability That The Ball Lands In A Red

A-F?

 

15. Roulette wheels in Los Vegas have 38 pockets. They are all numbered 0, 00, and 1 through 36. Of all 38 pockets, there are 18 red, 18 are black, and 2 are green. Each time the wheel is spun, a ball lands in one of the pockets, and each pocket is equally likely. (a) (2 points) If you spin the wheel twice, what is the probability that the ball lands in a red pocket in both spins? PC2 red pocke 18 38 18 81 38 361 (a) (b) (2 points) If you spin the wheel twice, what is the probability that the ball lands in a black pocket in both spins? P(2 black pockets) = 18 18 81 38 38 361 (b) (c) (2 points) If you spin the wheel twice, what is the probability that the ball lands in a green pocket in both spins? P(2green pockets) 2 2 = 38 38 (c) (d) (3 points) If you spin the wheel twice, what is the probability that the ball lands in a same color pocket in both spins? P(same color) 38 3 38 (d) (e) (3 points) If you spin the wheel twice, what is the probability that the ball lands in a different color pocket in both spins? P(different color) (e) (f) (3 points) If you spin the wheel three times, what is the probability that the ball lands in the same pocket in all three spins?