Problem 1:

One card is randomly selected from a standard deck of cards. Find the probability that the card selected is (a) a six of clubs (b) an ace (c) a heart (d) not a heart (e) Black (f) Not a jack (g) Either red or black (h) a yellow card (i) a face card (j) a spade or face card

Problem 2: Traffic lights: A commuter passes through two traffic lights on the way to work. Each light is either red, yellow, or green. An experiment consists of observing the colors of the two lights. a. List the nine outcomes in the sample space. b. Let be the event that both colors are the same. List the outcomes in A. c. Let be the event that the two colors are different. List the outcomes in B d. Let be the event that at least one of the lights is green. List the outcomes in C. e. Are events A and B mutually exclusive? Explain. f. Are events A and C mutually exclusive? Explain.