Question

A roulette wheel had alternating red and black numbered slots into one of which the ball finally stops to determine the winner. If the gambler always bets on black to win, what is the probability of winning at least 24 times in a series of 36 spins?

Answer 1

Let x=the number of black results in 36 spins
X~B(36, 0.5)
P(x=24)=36C24*0.5^36
=0.0182143
This is how I would do it. Do it make sense?