A child is playing a card game where, if she does not have a red card in her hand, she must draw cards from the deck, and keep the cards she draws, until she draws a red card.

A geometric distribution requires independent trials with the same probability of success on each trial. Here, each card is kept after it is drawn, so the deck changes and the chance of drawing a red card changes from draw to draw. Therefore, the trials are not independent, and “No, since each trial is not independent of the other trials” is correct.

AI-written and checked against the verified answer.