Question

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. is it appropriate to use the geometric distribution to calculate probabilities in this situation? yes, the geometric distribution is appropriate. no, since each trial is not independent of the other trials. no, because it is not looking for the first occurrence of success. no, since a success and failure on each trial cannot be defined.

Explanation:

The geometric distribution requires independent trials. In this card - drawing situation, when the child keeps the cards she draws, the composition of the deck changes for each subsequent draw. So, the probability of drawing a red card (success) on each trial is not constant, and the trials are not independent.

Answer:

No, since each trial is not independent of the other trials.