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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. dependent
b. independent
c. codependent
d. mutually exclusive

1 Answer

3 votes

Final answer:

The two events, picking a king and then picking a queen after reshuffling the deck, are independent as the second event's probability is unaffected by the first due to the cards being replaced after each draw.

Step-by-step explanation:

In the given scenario where a card is picked from a shuffled pack, a king is drawn, and then placed back in the pack before picking another card which results in drawing a queen, the two events are considered independent. This is because after drawing the king and putting it back in the pack, the deck returns to its original state before the second draw. Since the queen is drawn after reshuffling, the probability of drawing a queen is not affected by the previous event of drawing a king. This scenario is an example of sampling with replacement, where the outcome of one event does not affect the outcome of the second event.

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