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 parts (a) and (b)? Why or why not?
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
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 parts (a) and (b)?
Why or why not?
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