Four players, creatively named A, B, C, and D, are playing spades. A standard, well-shuffleddeck of 52 cards is dealt to the players (so each player receives a 13-card hand).(a) How many possibilities are there for the hand that player A will get? (Withina hand, the order in which cards were received doesn’t matter.)(b) How many possibilities are there overall for what hands everyone will get,assuming that it matters which player gets which hand, but not the order of cardswithin a hand?(c) Why is the answer to Part (b) NOT the fourth power of the answer to Part(a)? Give an intuitive explanation in complete sentence(s).
Four players, creatively named A, B, C, and D, are playing spades. A standard, well-shuffleddeck of 52 cards is dealt to the players (so each player receives a 13-card hand).(a) How many possibilities are there for the hand that player A will get? (Withina hand, the order in which cards were received doesn’t matter.)(b) How many possibilities are there overall for what hands everyone will get,assuming that it matters which player gets which hand, but not the order of cardswithin a hand?(c) Why is the answer to Part (b) NOT the fourth power of the answer to Part(a)? Give an intuitive explanation in complete sentence(s).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Four players, creatively named A, B, C, and D, are playing spades. A standard, well-shuffled
deck of 52 cards is dealt to the players (so each player receives a 13-card hand).
(a) How many possibilities are there for the hand that player A will get? (Within
a hand, the order in which cards were received doesn’t matter.)
(b) How many possibilities are there overall for what hands everyone will get,
assuming that it matters which player gets which hand, but not the order of cards
within a hand?
(c) Why is the answer to Part (b) NOT the fourth power of the answer to Part
(a)? Give an intuitive explanation in complete sentence(s).
deck of 52 cards is dealt to the players (so each player receives a 13-card hand).
(a) How many possibilities are there for the hand that player A will get? (Within
a hand, the order in which cards were received doesn’t matter.)
(b) How many possibilities are there overall for what hands everyone will get,
assuming that it matters which player gets which hand, but not the order of cards
within a hand?
(c) Why is the answer to Part (b) NOT the fourth power of the answer to Part
(a)? Give an intuitive explanation in complete sentence(s).
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