(Interpreting Independence LC)P(A) = 0.53 and P(B) = 0.14. Determine P(B|A) if events A and B are independent.

(Interpreting Independence LC)P(A) = 0.33 and P(B) = 0.44. Determine P(B|A) if events A and B are independent.

(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 LC)P(A) = 0.27, P(B) = 0.40, and P(A∩B) = 0.108. Are events A and B independent? Justify the answer mathematically.

(Conditional Probability LC)The probability of event A occurring is 0.27, the probability of event B occurring is 0.19, and the probability of events A and B occurring is 0.05. Determine P(A|B).

(Addition and Multiplication Rules for Probability LC)P(A) = 0.63, P(B) = 0.41, and P(B | A) = 0.41. Are the events independent? 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 Determine the empirical probability that a person who watched videos was an artist watching beauty tips.

(Conditional Probability LC)The probability of event A occurring is 0.27, the probability of event B occurring is 0.19, and the probability of events A and B occurring is 0.05. Determine P(B|A).

(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 contests for these social media users? Justify your conclusion.

(Conditional Probability LC)The probability of selecting a red marble is 0.41. The probability of selecting a red marble, given that the marble is glass, is 0.59. Interpret the outcome of the conditional probability.