A Small Steel Roulette Ball Rolls Around The Inside

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A small steel roulette ball rolls around the inside bottom

Physics 114: Homework Help A small steel ball rolls counterclockwise around the inside of a 40.0-cm-diameter roulette wheel. The ball completes exactly 2 revolutions in 0.95 s. What is the magnitude of the ball's average angular velocity in rad/s? Give your answer to two significant figures. Roulette seems random because of the way the ball bounces around before it comes to rest. The dealer's hand and rolls around the side of the wheel. Where the ball will land. The dealer starts the game and spins the roulette wheel, then rolls a small metal ball on it. Meanwhile, players place their bets and wait until the ball stops at a slot. When the ball slows down, the dealer stops accepting bets and, after the ball stops, announces the winning slot. Winners get the payout, losers lose their bets.

A Small Steel Roulette Ball Rolls Around The Inside Bottom

A Small Steel Roulette Ball Rolls Around The Inside

A Small Steel Roulette Ball Rolls Around The Inside House

A Small Steel Roulette Ball Rolls Around The Inside
Algebra -> Probability-and-statistics-> SOLUTION: 2.2 Roulette Wheel. The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, w Log On


Question 1113469: 2.2 Roulette Wheel. The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball.
(a) You watch a roulette wheel spin 3 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?
(b) You watch a roulette wheel spin 300 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?
(c) Are you equally confident of your answers to the parts (a) and (b)? Why or why not?
Answer by greenestamps(7945) (Show Source):
You can put this solution on YOUR website!

The wording of the problem indicates that it is a fair roulette wheel, so the probability of landing on a red spot on each spin is 16/38 = 8/19. That probability is the same, regardless of the outcomes on previous spins.
So the answers are
(a) 8/19
(b) 8/19
(c) Yes, as explained above


A small steel roulette ball rolls around the inside door
Algebra -> Probability-and-statistics-> SOLUTION: 2.2 Roulette Wheel. The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, w Log On


Question 1113469: 2.2 Roulette Wheel. The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball.
(a) You watch a roulette wheel spin 3 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?
(b) You watch a roulette wheel spin 300 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?
(c) Are you equally confident of your answers to the parts (a) and (b)? Why or why not?
Answer by greenestamps(7945) (Show Source):
You can put this solution on YOUR website!

The wording of the problem indicates that it is a fair roulette wheel, so the probability of landing on a red spot on each spin is 16/38 = 8/19. That probability is the same, regardless of the outcomes on previous spins.
So the answers are
(a) 8/19
(b) 8/19
(c) Yes, as explained above

A Small Steel Roulette Ball Rolls Around The Inside World