ProbabilityOne card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?Options2/196/146/153/13
Question
ProbabilityOne card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?Options2/196/146/153/13
Solution
The probability of drawing a face card (Jack, Queen, or King) from a standard deck of 52 cards can be calculated as follows:
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Determine the total number of face cards in the deck. In a standard deck, there are 4 Jacks, 4 Queens, and 4 Kings, for a total of 12 face cards.
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Determine the total number of cards in the deck. In a standard deck, there are 52 cards.
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The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcome is drawing a face card, and the total number of outcomes is drawing any card from the deck.
So, the probability of drawing a face card is 12 (the number of face cards) divided by 52 (the total number of cards), which simplifies to 3/13.
Therefore, the correct option is 3/13.
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