6. [0/5 Points] DETAILS PREVIOUS ANSWERS MY NOTES In a New York State daily lottery game, a sequence of three digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that two of the three digits are the same. .04 X e...9. [-/5 Points] DETAILS MY NOTES Your favorite restaurant offers a total of 14 desserts, of which 10 have ice cream as a main ingredient and 12 have fruit as a main ingredient. Assuming that all of them have either ice cream or fruit or both as a main ingredient, how many have both? desserts1. [0/5 Points] DETAILS PREVIOUS ANSWERS MY NOTES Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, three green ones, four white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has at least one green one. 1/45 X 2. [0/5 Points] DETAILS PREVIOUS ANSWERS MY NOTES OX... Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, two green ones, three white ones, and three purple ones. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms. IE.. She has two red ones and one of each of the other colors. 6/55 X bes...- North Carolina State Un 10. [-/11 Points] DETAILS The following table shows the results of a survey of authors by a fictitious publishing company. Established New Authors Authors Total Successful 5 23 28 Unsuccessful 13 57 70 Total 18 80 98 Consider the following subsets of the set S of all authors represented in the table: C, the set of successful authors; U, the set of unsuccessful authors; N new authors; and E, the set of established authors. HINT [See Example 3.] Describe the set C n N in words. The set of authors who are successful but not new. The set of authors who are either successful or new (or both). The set of authors who are both successful and new. The set of authors who are either unsuccessful or new (or both). The set of authors who are both unsuccessful and new. Describe the set C U / in words. The set of authors who are both unsuccessful and new. The set of authors who are either successful or new (or both). The set of authors who are either unsuccessful or new (or both). The set of authors who are both successful and new: The set of authors who are unsuccessful but not new. Use the table to compute n(C), n(N), n(C n N), and n(C U N). n(C) = n (N) = n(C n N) = n (C UN) = Does n(C U N) = n(C) + n(N) - n(C n N)? Yes be... No12. [3/4 Points] DETAILS PREVIOUS ANSWERS MY NOTES The following table shows the number of new (single-unit) houses started, in thousands, in the different regions of the United States during 2012-2014.+ Take S to be the set of all housing starts represented in the table, and label the sets representing the housing starts in each row and column as shown (so, for example, N is the set of all housing starts in the Northeast during 2012-2014). Northeast Midwest South West (N) (M) (S) (W) Total 2012 (A) 50 90 280 110 530 2013 (B) 60 100 330 130 620 2014 (C) 50 110 350 150 660 Total 160 300 960 390 1,810 re... Use symbols to describe the given set. the set of housing starts in 2013 excluding housing starts in the the South ve... OAUT' OBIT' se.. BUT' AnT' FOX... OCT' Compute its cardinality. HE... 290 thousand Viewing Saved Work Revert to Last Response bes...4. [3/8 Points] DETAILS PREVIOUS ANSWERS MY NOTES Your company is considering offering 600 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery. Assuming that your company currently employs 300 managers, 400 factory workers, and 800 miscellaneous staff, find the following probabilities, leaving the answers as formulas. (a) All the managers will be offered the opportunity. C 700 X , 500 x 800 X , 600 (b) You will be offered the opportunity. C 799 X , 599 800 X , 6007. [-/6 Points] DETAILS MY NO A certain identification number is a sequence of nine digits. (a) How many identification numbers are possible? 10 numbers (b) How many of them begin with either 023 or 003? 20 numbers (c) How many identification numbers are possible if no two adjacent digits are the same? (For example, 235-93-2345 is permitted, but 126-67-8189 is not.) numbers
