Write the event as a set of outcomes. When two dice are rolled, the total showing is seven. Choose the correct answer below. OA. {(4,3),(5,2),(6,1)} B. {(1,6),(2,5), (3,4),(4,3), (5,2),(6,1)} C. {1,6,2,5,3,4,3,5,2,6,1} D. {(1,6),(2,5), (3,4)} Write the event, "Red appears at least once when we spin the given spinner two times" as a set of outcomes. Abbreviate "red" as "r," "blue" as "b," and "yellow" as "y." Red Blue Yellow Of the following sets, which represents the event "Red appears at least once when we spin the given spinner two times"? OA. {rr,rb,ry, br, bb,by, yr, yb,yy} B. {rb,ry,br,yr} C. {rr,rb,ry,br,yr} D. {bb,by,yb,yy} We are flipping three coins. Outcomes in the sample space are represented by strings of Hs and Ts such as TTH and HHT. a. How many elements are in this sample space? b. Express the event "there are more heads than tails" as a set. c. What is the probability that there are more heads than tails? d. What is the probability that there are an equal number of heads and tails? a. There are elements in this sample space. Suppose that 8 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 8 are black? The probability is (Round to six decimal places as needed.) The residents of a small town and the surrounding area are divided over the proposed construction of a sprint car racetrack in the town, as shown in the table on the right. Live in Town Live in Surrounding Area Support Oppose Racetrack Racetrack 4716 2096 9020 4510 A reporter randomly selects a person to interview from a group of residents. Complete parts (a) and (b) below. (a) If the person selected lives in town, what is the probability that the person supports the racetrack? The probability is (Type an integer or a simplified fraction.) A cookie is selected at random from a basket containing 21 peanut butter cookies, 18 sugar cookies, 3 mint cookies, and 28 caramel cookies. Find the probability that a peanut butter cookie is selected. The probability of selecting a peanut butter cookie is (Simplify your answer.) A table of marital status for males and females is shown below. If a never-married person is randomly picked, what is the probability that the person is a man? Now Married (not separated) Widowed Divorced or separated Never Married Males 9772 40 1569 24,821 Females 12,721 113 2486 21,736 The probability that a never-married person is a man is (Type an integer or decimal rounded to two decimal places as needed.)