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. Gamblers can place bets on red or black. If
the ball lands on their color, they double their money. If it lands on another color, they lose their
money. Suppose you bet $1 on red. What is the expectation and standard deviation of your winnings?

I'm a little confused as to where to start, can any one help me with getting the starting numbers for E(X)?

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. Gamblers can place bets on red or black. If
the ball lands on their color, they double their money. If it lands on another color, they lose their
money. Suppose you bet $1 on red. What is the expectation and standard deviation of your winnings?

I'm a little confused as to where to start, can any one help me with getting the starting numbers for E(X)?