) In the game Dutch Blitz, each player has their own deck of 40 cards: 10 red, 10 yellow, 10 blue, and 10green. The 10 cards in each colour group are labelled from 1 to 10. The decks are all identical; one ispictured belowa) Player A chooses 4 cards at random from her deck to lay face up on the table. What is theprobability 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 theprobability 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. Consideringonly the colours of the cards (i.e., ignoring their numbers), how many different orderings of the40 cards are possible?

Total number of cards = 40 Number of cards of each of the four colors = 10

Answered: ) In the game Dutch Blitz, each player…

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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A player is dealt 3 cards from a standard 52-card deck. Determine the probability of being dealt two of a kind (such as two aces or two kings) by answering questions a through d. ... a) How many ways can 3 cards be selected from a 52-card deck? There are ways that 3 cards can be selected from a 52-card deck. (Type a whole number.) b) Each deck contains 4 twos, 4 threes, and so on. How many ways can two of the same card be selected from the deck? There are ways that two of the same card can be selected from the deck. (Type a whole number.) c) The remaining card must be different from the 2 chosen. After selecting the two of a kind, there are 12 different ranks of cards remaining in the deck that can be chosen. Of the 12 ranks remaining, the player chooses 1 of them and then selects one of the 4 cards in the chosen rank. How many ways can the player select the remaining card? There are ways the player can select the remaining card. (Type a whole number.)
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). If you select a card at random, what is the probability of getting: a) A(n) 8 of Spade s? (Please enter a reduced fraction.) b) A Heart or Club? (Please enter a reduced fraction.) c) A number smaller than 10 (counting the ace as a 1)? (Please enter a reduced fraction. ) 2+
A deck consists of 32 cards with 2 suits labelled A and B, and numbered ranks from 1 to 16. That is, there are 16 cards of each suit and 2 cards of each rank. A single card is chosen at random from the deck. What is the probability of it being rank 7 given that it is suit b? And What is the probability of it being suit b given that it has rank 7?
A safe has a five-digit code. a) How many different codes are possible?b) How many different codes are possible if the digits can’t be repeated?c) Suppose you know that the code consists of the digits 0, 2, 5, 8, and 9, but you cannotremember in which order they go. What is the probability that you guess the correct code onthe first try?
You are going to roll three standard six sided dice. The dice are distinguishable: one is red, and other is blue, and the third is yellow. How many different roles are there?
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).If you select a card at random, what is the probability of getting:1) A(n) 3 of Club s? 2) A Spade or Club? 3) A number smaller than 6 (counting the ace as a 1)?
Which scenario are more likely to draw a pair in a standard deck of cards without replacement? Scenario (A): Draws 2 Kings Scenario (B): Draws a Queen and an Ace
Suppose that whenever Enrico and Cliff play chess, odds are 2:1 in favour of Enrico winning a game. Suppose a 3-game match is arranged. a) Create a tree diagram that illustrates all the possible outcomes for the match. b) Determine the probability of each outcome. c ) Add the probabilities determined in part b). Does this total make sense? Explain. d) What is the probability that Enrico will not win all three games? e) What is the probability that Cliff will win exactly two games? f) What are the odds against either player winning all three games?
some state lotteries have a pick 3 game where you can choose any number from 000 to 999 a.) how many possible number can you choose from? b.)if all 3-digit numbers is equally likely what is the probability of any specific number exactly matches winning number? c.) suppose you pick 156 and you can win if the winning number cintains these 3 digits in any order. what is the probability you win? d.) suppose you pick the number 111 and you can win if the winnng number contains those three digits in any order. what is the probability you win?
event. The first card is a club and the second is a spade.
A. Suppose you close your eyes and randomly select one M&M from your pile, find the probability of grabbing a color that contains the letter “r”or a color that contains the letter “o”. B. Suppose you close your eyes and randomly select one M&M from your pile, replace that M&M, and select another M&M from the pile. What is the probability that you will select an orange and a yellow M&M? C. Suppose you close your eyes and randomly select two M&M’s from your pile, without replacing the first M&M. What is the probability that you will select a red and a blue M&M?
A 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. If a card is randomly selected, what is the probability of drawing a(n) 10 of one suit? b. If a card is randomly selected, what is the probability of drawing club or diamond? c. If a card is randomly selected, what is the probability of drawing a number smaller than 3 (counting the ace as a 1)?

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