d) Are the events King and face card independent events? Why or why not? Round answer to 3 decimal places. Select an answer
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The events of drawing a king and drawing a face card are not independent events. In a standard deck of 52 cards, the event of drawing a king affects the probability of drawing a face card. There are 3 face cards in each suit (Jack, Queen, King), so if you draw a king, there are still 11 other face cards to consider. The probability of drawing a face card changes slightly since a king is also a face card, influencing their overall count. To calculate, the probability of drawing a king is 4/52, and the probability of drawing any face card is 12/52. However, if you already drew a king, you'd only have 11 face cards left out of the remaining 51 cards. Thus, these probabilities are interlinked, demonstrating their dependence.