1. Suppose that the probability of getting pulled over for erratic driving is 60% in Berkeley and 40% in Reno. Assume you are an erratic driver. If you flip a fair coin to decide which city to visit, what is the probability that you will get pulled over?
2. Suppose that you are hunting for mushrooms and you know that 95% of poisonous mushrooms have spots, whereas only 40% of all mushrooms have spots. If 10% of mushrooms in your area are poisonous, what is the probability that an unspotted mushroom you find is poisonous?
3. Suppose that a certain drug test at an athletic event is 99% correct for both users and non-users. Suppose that 0.1% of athletes use the illegal drug. What is the probability that you do not use drugs, given that the test says you do?
4. A restaurant has 3 chefs. Suppose that that if a patron eats a meal prepared by Chef A, B, or C, the probability of dissatisfaction is 0.02, 0.03, and 0.05, respectively. Suppose that Chef A makes 50% of the meals, B makes 20%, and C makes 30% of the meals.If a meal was a failure, what is the probability that it was prepared by Chef A
5. Suppose you flip a coin twice. What is the conditional probability that both flips are tails, given that

• the first flip is tails?
• at least one of the two flips is tails?

1. Suppose you generate a bit string of length four (Recall that bit string is a sequence of ones and zeros). Given that the first bit is one, what is the probability that a string contains a pair of consecutive ones?