Question

(2) What is the sample space you obtain if a fair coin and a die are tossed? (3) Suppose there is a machine which randomly selects two digits from a collection of , 2, a. What are the sample points contained in the event that the sum of the two digits b. What are the sample points contained in the event that the absolute difference (4) Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go 3, 4, 5, 6,7,8, 9. State the sample space. is 5? of the two digits is 27 straight (S). Consider observing the direction for each of two successive vehicles. List all outcomes in the event A that both vehicles go in the same direction. List all outcomes in the event B that both vehicles take different directions. a. b. c. List all outcomes in the event C that at least one vehicle turns right. (5) Consider the composition of a three-child family in which the children were born at different times. Assume that a girl is as likely as a boy at each birth. What is the sample space for this "experiment?" What is the probability that there is exactly 1 boy in the family? What is the probability that there are at least two boys in the family? a. b. c. (6) Consider the experiment of rolling two fair dice and observing the numbers that land up. a. What is the probability that the sum of the numbers on the two dice is 9? b. What is the probability that the sum of the dice is more than 102 c. What is the probability that a 5 is rolled? d. What is the probability that a double is not rolled?

Answer 1