how many time would the ball land on red

Question

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 6 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 400 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

a) Each spin is independent so the results of the previous 6 spins are irrelevant. The probability of landing on red will be 18/38

b) Same answer as above, although if this happened it's not truly a fair system.