A roulette wheel has 37 blocks of equal sizes marked around the rim. Each block is marked with a unique number from 0 t 36. Eighteen of the blocks are red, eighteen are black, and one is green. When the wheel is spun, it’s equally likely to land at any angle between 0◦
and 360◦
. Players can bet on the wheel landing at a colour, or a number, or a combination of colours and numbers.

a. Let X be the angle at which the wheel lands when spun.
What is the distribution of X?

b. What is the probability of winning a spin if you bet on red?

c. What is the probability of winning if you bet on number four?

d. What is the probability of winning if you bet that the number will be a multiple of three, or a multiple of eleven?
(Don’t include 0 as a multiple.)