Solve

1. Let event A be the event of drawing a number greater than 6 (including Face Cards, Ace is low). Let event B be the event of rolling a 7 with two dice. Let event C be the event of drawing a Queen. a. How many outcomes are possible if you draw one card and roll 2 dice? b. Find P(A). c. Find P(B). d. Find P(A and B). e. Find P(A or C) f. A and B are dependent / independent events. Explain your answer. g. A and C are dependent / independent events. Explain your answer. h. If event A does not occur, what is the probability that event C will occur? Explain your reasoning. 2. A small town has 6 stoplights on the road between the main street and the highway. The probability of getting a red light is 0.45. What is the probability that a. I get all red lights on the way from Main Street to the highway. b. I get all green lights on the way from Main Street to the highway. 3. 40% of the cars sold are red. 45% of the cars sold are 2 door models. 28% of the cars sold are red 2 doors. What is the probability that you will drive either a red car or a 2 door? 4. Two standard dice are rolled. a. What is the probability that the total of the two dice is divisible by 3? b. What is the probability that one of the dice is showing a 5? c. What is the probability that one of the dice is showing a 5, or it is divisible by 3