Question 1: An elevator has6people and makes9stops. What is the probability that no two people get off on the same floor? (Enter your answer as a fraction.)

Question 2: The U.S. Senate consists of 100 members, 2 from each state. A committee of7senators is formed. What is the probability that it contains at least one senator from your state? (Round your answer to two decimal places.)

Question 3: Use the given values to find the following. (Enter your answers as fractions.)

P(A) =0.7,P(B) =0.3,P(AB) =0.2

(a)P(AgivenB)

(b)P(BgivenA)

Question 4: A box contains4white,2red, and3black marbles. One marble is chosen at random, and it is not black. Find the probability that it is white. (Enter your answer as a fraction.)

Question 5: You will take either a basket-weaving course or a philosophy course, depending on what your advisor decides. You estimate that the probability of getting an A in basket weaving is0.80, while in philosophy it is0.70. However, the chances of your advisor choosing the basket-weaving course is only40%, while there is an60%chance that he will put you in the philosophy course. What is the probability that you end up with an A? (Enter your answer to three decimal places.)