Question 1 10 pts Let A, B, and C be three events for a probability experiment. Use set notation to express the following statements: (a) All of the three events occur. (b) None of the three events occur. O (a) A+B+C (b) (ABC)' O (a) A+B+C (b) A'B'C' O (a) ABC (b) (ABC)' O (a) ABC (b) A'B'C'Question 2 10 pts Roll two fair dice and multiply:r the numbers together. Write out the sample space. Then compute the following probabilities: what is the probability that the product is a multiple of 6? (3 1:2 (3 5:12 (3 ?r1a {) 1:9 Question 3 10 pts Roll two fair dice and multiply the numbers together. What is the probability that the product is less than 10? 19/36 O 1/2 O 17/36 O 4/9Question 4 10 pts The distribution of ages of CEOs is as follows: Age Frequency 21-30 31-40 41-50 27 51-60 29 61-70 24 71-up 11 If a CEO is selected at random, find the probability that his or her age is (a) Over 30 and under 51 (b) Under 31 or over 60 O (a) 0.36 (b) 0.35 O (a) 0.36 (b) 0.36 O (a) 0.35 (b) 0.35 O (a) 0.35 (b) 0.36Question 5 10 pts Roll two fair dice. Find the probability of the event "the second die is 5 or the sum is 10". O 1/3 O 1/9 O 2/9 O 7/36Question 6 10 pts Two unusual dice A and B are constructed such that die A has the numbers 3, 3, 4, 4, 8, 8; die B has the numbers 1, 1, 5, 5, 9, 9. Both dice are fair. If dice A and B are rolled, find the probability that B beats A, that is, the number that appears on die B is greater than the number that appears on die A. O 5/9 O 1/2 O 4/9 O 2/3 Question 7 10 pts One card is drawn from an ordinary deck of 52 cards. Find the probability of the event "drawing a red card or a face card". O 7/13 O 9/13 O 8/13 O 4/13Question 8 10 pts Ms. Elliott invites 10 relatives to a party: her mother, 2 aunts, 3 uncles, 2 brothers, 1 male cousin, and 1 female cousin. If the chances of any 1 guest arriving first are equally likely, find the probability that the first guest to arrive is a male or a cousin. O 7/10 O 4/5 O 2/3 O 3/5 Question 9 10 pts The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and two slips are drawn at random one at a time without replacement. Find the probability of the event: one of the numbers is even or greater than 3. O 7/8 O 4/5 O 8/9 O 9/10