A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36. The slots 0 and 00 are colored green, 18 of the others are red, and 18 are black. The dealer spins the wheel and at the same time rolls a small ball along the wheel in the opposite direction. The wheel is carefully balanced so that the ball is equally likely to land in any slot when the wheel slows.

You decide to play roulette 400 times, each time betting the same amount on red. Check that the Normal approximation is permissible, and use it to find the probability that you will lose money:

Question

A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36. The slots 0 and 00 are colored green, 18 of the others are red, and 18 are black. The dealer spins the wheel and at the same time rolls a small ball along the wheel in the opposite direction. The wheel is carefully balanced so that the ball is equally likely to land in any slot when the wheel slows.

You decide to play roulette 400 times, each time betting the same amount on red. Check that the Normal approximation is permissible, and use it to find the probability that you will lose money:

anonymous · Answer

@mrasb2011 you have to first find the probability of winning(let p be the prob.)
p=18/38=9/19
and probability of loosing(let q be the prob.)=1-9/19=10/19
this is if he played one time if he played 400 times then prob=(10/19)^400
:)

anonymous · Answer

Which colours mean that you lose money? This is quite important.

anonymous · Answer

betting on red so loose on other:)

anonymous · Answer

ah. lol Guess street sense is needed lol