Which of the following systems possesses the highest entropy? a new pack of playing cards, unopened and unshuffled a pack of playing cards shuffled and ready to be used playing cards in hand and in use a new pack of playing cards unshuffled but open

Playing cards in hand and in use.

Explanation:

Using the entropy as the measure of the unpredictability of the state. The higher the unpredictability the higher the entropy. When a new deck remains unshuffle, all the cards are in order, is easy to predict the card that you will get if you take an Ace the next card will be a Two. The entropy is low. When you shuffle the cards the entropy increased, it becomes more difficult to guess which card you will find after taking out an Ace. After you shuffle the cards and give cards to each player, predicting who has which card is even more difficult, therefore this is the system with the greatest entropy.