4/13/2022

A Small Steel Roulette Ball Rolls Around The Inside

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  1. A Small Steel Roulette Ball Rolls Around The Inside Door
  2. A Small Steel Roulette Ball Rolls Around The Inside World
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
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A Small Steel Roulette Ball Rolls Around The Inside Door


A Small Steel Roulette Ball Rolls Around The Inside World


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


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.

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