Four students are playing a card game. They decide to choose the first 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? configurations (b) How many configurations are there in which each student picks a different card? configurations (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.)
Four students are playing a card game. They decide to choose the first 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? configurations (b) How many configurations are there in which each student picks a different card? configurations (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.)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 79E: Dance Committee A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5...
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Transcribed Image Text:Four students are playing a card game. They decide to choose the first 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?
configurations
(b) How many configurations are there in which each student picks a different card?
configurations
(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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