Question
The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and...
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. One popular bet is that it will stop on a red slot; such a bet has an 18/38 chance of winning. Suppose a gambler bets on red in 6 different spins.
a) Find the probability the gambler wins the first 3 spins but loses the next 3 spins.
b) Find the probability the gambler wins exactly 3 of the 6 spins.
c) Find the probability the gambler wins at least 3 of the 6 spins.
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