Four students are playing a card game. They decide to choose the rst person to play by each selecting a card from the 52-card deck
Four students are playing a card game. They decide to choose the rst person to play by each selecting a card from the 52-card deck and looking for the highest card in value and suit. They rank the suits from lowest to highest: clubs, diamonds, hearts, and spades. (a) If the card is replaced in the deck after each student chooses, how many possible configurations of the four choices are possible? 7,311,616 congurations (b) How many configurations are there in which each student picks a different card? 132600 congurations (c) What is the probability that all four students pick exactly the same card? (Round your answer to six decimal places.) (d) What is the probability that all four students pick different cards? (Round your answer to three decimal places.)
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