a street magician asks a volunteer to pick a card, which is put back into the deck at the end of the trick…

a street magician asks a volunteer to pick a card, which is put back into the deck at the end of the trick. a few minutes later, the magician shuffles the deck and asks a different person to choose a card. are these two events dependent or independent? dependent independent

a street magician asks a volunteer to pick a card, which is put back into the deck at the end of the trick. a few minutes later, the magician shuffles the deck and asks a different person to choose a card. are these two events dependent or independent? dependent independent

Answer

Explanation:

Step1: Recall definition of independent events

Two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event.

Step2: Analyze the card - picking situation

The first card is put back into the deck and then the deck is shuffled. So the composition of the deck for the second - person's pick is the same as it was for the first - person's pick. The first pick does not influence the second pick's probability.

Answer:

Independent