) In the game Dutch Blitz, each player has their own deck of 40 cards: 10 red, 10 yellow, 10 blue, and 10 green. The 10 cards in each colour group are labelled from 1 to 10. The decks are all identical; one is pictured below a) Player A chooses 4 cards at random from her deck to lay face up on the table. What is the probability that she lays down exactly one card of each colour? b) Player B chooses 4 cards at random from his deck to lay face up on the table. What is the probability that he lays down the numbers 1, 2, 3, 4 in that order (ignoring colour)? c) Player C shuffles her deck and then lays all 40 cards face up in a line on the table. Considering only the colours of the cards (i.e., ignoring their numbers), how many different orderings of the 40 cards are possible?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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) In the game Dutch Blitz, each player has their own deck of 40 cards: 10 red, 10 yellow, 10 blue, and 10
green. The 10 cards in each colour group are labelled from 1 to 10. The decks are all identical; one is
pictured below
a) Player A chooses 4 cards at random from her deck to lay face up on the table. What is the
probability that she lays down exactly one card of each colour?
b) Player B chooses 4 cards at random from his deck to lay face up on the table. What is the
probability that he lays down the numbers 1, 2, 3, 4 in that order (ignoring colour)?
c) Player C shuffles her deck and then lays all 40 cards face up in a line on the table. Considering
only the colours of the cards (i.e., ignoring their numbers), how many different orderings of the
40 cards are possible?
Transcribed Image Text:) In the game Dutch Blitz, each player has their own deck of 40 cards: 10 red, 10 yellow, 10 blue, and 10 green. The 10 cards in each colour group are labelled from 1 to 10. The decks are all identical; one is pictured below a) Player A chooses 4 cards at random from her deck to lay face up on the table. What is the probability that she lays down exactly one card of each colour? b) Player B chooses 4 cards at random from his deck to lay face up on the table. What is the probability that he lays down the numbers 1, 2, 3, 4 in that order (ignoring colour)? c) Player C shuffles her deck and then lays all 40 cards face up in a line on the table. Considering only the colours of the cards (i.e., ignoring their numbers), how many different orderings of the 40 cards are possible?
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