American roulette is a game in which a wheel turns on a spindle and is divided into

Question:

American roulette is a game in which a wheel turns on a spindle and is divided into 38 pockets. Thirty-six of the pockets are numbered 1-36, of which half are red and half are black. Two of the pockets are green and are numbered 0 and 00 (see figure). The spins the wheel and a small ball in opposite directions. As the ball slows to a stop, it has an equal probability of landing in any of the numbered pockets.

18 31 19 8 12 29 25 10 27 00 1 13 36 24 3 15 34 22 5 17 32 207 28 0 2 14 35 234 16 33 21 6 13 36 24

(a) Find the probability of landing in the number 00 pocket.
(b) Find the probability of landing in a red pocket.
(c) Find the probability of landing in a green pocket or a black pocket.
(d) Find the probability of landing in the number 14 pocket on two consecutive spins.
(e) Find the probability of landing in a red pocket on three consecutive spins.

Dealer
A dealer in the securities market is an individual or firm who stands ready and willing to buy a security for its own account (at its bid price) or sell from its own account (at its ask price). A dealer seeks to profit from the spread between the...