Answer:
A. Archie and Harris take turns picking yellow- or purple-colored chips from a dish.
C. Lily draws a marble from a bag filled with red and blue marbles, places her selection in a separate bag, and draws from the original bag of marbles again.
Step-by-step explanation:
Two events will be dependent if the first event influences the probability of the second event. If the first event takes something and doesn't put it back, that means the second event can't pull the same roll and the total pool of items changed.
A. Beth and Corrie take turns picking a card at random and recording each outcome. They replace the selected card at the bottom of the pile after each turn.
This option put replace the card, so it is independent
B. Archie and Harris take turns picking yellow- or purple-colored chips from a dish.
No replacement, the event should be dependent.
C. Jared pulls out a sock from the laundry basket containing white and black socks, puts it back, and then draws another sock at random.
This option put back the pulls, so it is independent
D. Lily draws a marble from a bag filled with red and blue marbles, places her selection in a separate bag, and draws from the original bag of marbles again.
No replacement for the marble taken, each draws probability should depend on the earlier draw result.
