1. The modern American roulette wheel has 38 slots, which are labeled with 36 numbers evenly divided between red and black, plus two green numbers 0 and 00. What is the probability that the ball will land on a green number?
2. A state is selected at random from the 50 states of the United States. What is the probability that it is one of the six New England states?
3. There are 4487 words in the U.S. Constitution. The word "shall" occurs 191 times, and the word "States" occurs 81 times. Suppose that a word is selected at random from the U.S. Constitution.
(a) What is the probability that the word is "shall"?
(b) What is the probability that the word is "shall" or "States"?
(c) What is the probability that the word is neither "shall" nor "States"?