Question

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.

You watch a roulette wheel spin 8 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?

You watch a roulette wheel spin 210 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?

Answer 1

Part (a)

There are 18 red slots out of the total 38, so the probability is
`18/38=\boxed{9/19}`. Note that the previous spins don't impact the result.

Part (b)

Similar to part (a), the answer is
`\boxed{9/19}`.