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(Interpreting Independence MC)There is a 25% chance that a book has a red cover, a 48% chance that a book is fiction, and a 12% chance that a book is fiction with a red cover. Determine whether the events “red cover” and “fiction” are approximately independent events. Justify mathematically.

(Interpreting Independence MC)There is a 25% chance that a book has a red cover, a 32% chance that a book is fiction, and an 8% chance that a book is fiction with a red cover. Determine whether the events “red cover” and “fiction” are approximately independent events. Justify mathematically.

(Applying Two-Way Frequency Tables MC)A social media company tracked the professions of 290 users who watched different types of videos and displayed the data in a table. Beauty Tips Contests Interviews Reveals Artist 31 5 11 16 Student 29 15 19 14 Engineer 12 17 21 17 Nurse 8 23 29 23 Is being an artist independent of watching interviews for these social media users? Justify your conclusion.

(Combinations and Permutations MC)A spelling bee has 20 contestants. In how many ways can they finish in first, second, and third place?

(If…Then Statements MC)Given the conditional statement, determine the inverse statement.Statement: If it is summer, then some people are drinking lemonade.

(Applying Two-Way Frequency Tables MC)A social media company tracked the professions of 290 users who watched different types of videos and displayed the data in a table. Beauty Tips Contests Interviews Reveals Artist 31 5 11 16 Student 29 15 19 14 Engineer 12 17 21 17 Nurse 8 23 29 23 Determine the empirical probability that a person who watched videos was a student watching reveals.

(Addition and Multiplication Rules for Probability MC)A bag contains 4 blue marbles, 6 orange marbles, and 3 yellow marbles. Select the expression that shows the probability of randomly drawing an orange marble followed by a blue marble without replacement.

(Addition and Multiplication Rules for Probability LC)P(A) = 0.61, P(B) = 0.15, and P(A ∪ B) = 0.76. Are events A and B mutually exclusive? Justify mathematically.

(Conditional Probability HC)A travel company tracked the preferred destinations of 225 travelers who enjoy different types of leisure activities. The data are displayed in a table. Beach Mountains City Outdor Recreation 38 21 12 Reading 32 39 18 TV/Video Games 12 23 30 Part A: Calculate the empirical conditional probability of a traveler who prefers the city, given that they enjoy outdoor recreation. Show all work. (5 points)Part B: Is a traveler user more or less likely to prefer the city if they enjoy outdoor recreation? Justify the answer mathematically. (5 points)

(Conditional Probability HC)A travel company tracked the preferred destinations of 225 travelers who enjoy different types of leisure activities. The data are displayed in a table. Beach Mountains City Outdor Recreation 38 21 12 Reading 32 39 18 TV/Video Games 12 23 30 Part A: Calculate the empirical conditional probability of a traveler who prefers the beach, given that they enjoy TV/video games. Show all work. (5 points)Part B: Is a traveler user more or less likely to prefer the beach if they enjoy TV/video games? Justify the answer mathematically. (5 points)