As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). (a) A randomly selected card from a standard 52-card deck is noted. The card is then replaced, the deck is shuffled, and a second card is selected and noted. What is the probability that both cards are Aces? Write the probability as a simplified fraction. There is a chance that two Aces are randomly selected (with replacement). (b) A randomly selected card from a standard 52-card deck is noted. The card is not put back into the deck, and a second card is selected and noted. What is the probability that both cards are Aces? Write the probability as a simplified fraction. There is a chance that two Aces are randomly selected (without replacement).
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Since the card is replaced, the probability of drawing an Ace on the second draw remains the same, 1/13. Show more…
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As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. Write each probability as a simplified fraction. (a) The card drawn is 6 P (6) = (b) The card drawn is not 6 P (not 6) = (c) The card drawn is a face card (Jack, Queen, or King) P (face card) = (d) The card drawn is not a face card. P (not a face card) =
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