Situations A and C are 'Not independent' because they involve picking without replacement, affecting subsequent choices. Situations B and D are 'Independent' as each event does not affect the other (coin flips, spinner spins).
The question is asking you to categorize each situation as either independent or not independent events. Two events are considered independent if the occurrence of one does not affect the probability of occurrence of the other. When sampling with replacement, events are typically independent.
A. A jar contains twenty coins. Two coins are picked randomly without replacement. - Not independent: Picking without replacement means the outcome of the first pick affects the second.
B. A coin is flipped three times. - Independent: Each flip is separate and does not influence the other flips.
C. A bag contains 5 red balls and 3 green balls. A red ball is chosen followed by a green ball without replacement. - Not independent: Not replacing the first ball affects the probability of the second choice.
D. A spinner contains 3 equal sectors labeled A, B, and C. The spinner is spun twice. - Independent: The result of the first spin does not influence the second spin.