60% of people visiting Arstotzka are from the neighbouring country of Kolechia, while the rest are from the neighbouring country of Republia. These tourists were asked their opinion of the nation of Arstotzka (favourable or unfavourable). Out of the tourists from Kolechia, 30% responded that they have an unfavourable opinion, while 60% of the Republia visitors say their opinion is favourable. Find the probability that a randomly selected visitor would say they have a unfavourable opinion of the glorious nation of Arstotzka! O A. 0.34 O a. 0.13 O c. 0.42 O 00.66 0 E. 0.16 Reset Selection A coin is weighted so that it flips tails three times as often as it comes up heads. If this coin is flipped twenty-eight times, which of the following is equal to the probability of having the number of tails flipped equal to six times the number of heads flipped? O A. (28 ) ( 4)' (9) 21 O B. (28 ) ( 2 ) ( 2 ) Oc. ( 28) (2 )" (: ) OD. O OE . ( 28 ) ( 9 ) ' ( 4 ) Reset SelectionGarth has a chest which contains 4 blue balls and 7 pink balls. He draws balls one at a time without replacement. Determine the probability that he draws exactly 3 pink balls before drawing the rst blue ball. 4 OAK 14 B. _ O 55 7 C. O 33 Reset Selection A standard 52 card deck is shufed and a card is drawn, its suit recorded, and then returned to the deck which is promptly reshuffled. This process is performed seventeen times. Determine the probability that exactly six hearts, exactly ve diamonds, and an equal number of spades and clubs are drawn. (gagefefef Reset Selection Quinn has two bags of candies. The first bag contains 3 sour keys and 10 cookie-pies; the second bag contains 9 sour keys and 3 cookie-pies. On Friday, Quinn selected one of the candies at random from the first bag and placed it in the second bag. The next day, Saturday, she selected a candy at random from the second bag. Given that the candy she selected on Saturday was a sour key, what is the probability that the candy she selected on Friday was also a sour key? O A. A O B. 3 13 OCT 13 OD. - 3 30 O E. 169 Reset SelectionA particular experiment is successful two out of every nine times it is run. Let n be the minimum number of times the experiment must be run to have more than a 82% chance of a successful outcome. Then n is the smallest positive integer that satisfies which ONE of the following inequalities? O A. ( 7 ) "