Question

select the correct answer.
you pick a card from a shuffled pack and draw a king. you put it back in the pack, shuffle, and then pick another card. this time you draw a queen. how are the two events of picking a king and picking a queen related?
a. neither dependent nor independent
b. independent
c. dependent
d. both dependent and independent

Explanation:

Step1: Recall independent events definition

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

Step2: Analyze the card - picking process

When we pick a card (say a king), put it back, and then shuffle the pack before picking the next card, the composition of the deck remains the same for the second draw. The probability of picking a queen in the second draw is not affected by the fact that we picked a king in the first draw (because we replaced the first card). So the event of picking a king and the event of picking a queen are independent events.

Answer:

B. independent