Provide an appropriate response.
-Classify the events as dependent or independent. The events of getting two aces when two cards are drawn from a deck of playing cards and the first card is
Replaced before the second card is drawn.
A)independent
B)dependent

Question

Quizplus · Accepted Answer

The events are independent because the first ace being drawn and replaced does not affect the likelihood of drawing another ace on the second draw. The probability of drawing an ace on the first draw is 4/52, and the probability of drawing an ace on the second draw is also 4/52, regardless of what card was drawn on the first draw. Therefore, the events are independent. The events of getting two aces are independent because the first ace being drawn and replaced before the second card is drawn does not affect the probability of getting another ace on the second draw. The probability of getting an ace on the first draw is 4/52 or 1/13. Since the first ace is replaced, the probability of getting another ace on the second draw is still 1/13. The events are independent because the occurrence of the first event does not affect the probability of the second event.

Provide an Appropriate Response