You are playing a simple card game with another friend, using a standard 52 card deck: four suits (Diamonds, Hearts, Clubs and Spades), 13 cards of each suit (numbers from 2 to 10, Jack, Queen, King and Ace). An honest card dealer, different from you two, picks 8 cards out of 52 cards at random and divides them evenly between you two, 4 cards each. (a) What is the probability that you get Ace, King, Queen and Jack of the Diamond suit? (b) What is the probability that you get Ace, King, Queen and Jack? (c) You have Ace, King, Queen and Jack of Diamonds. What is the probability that at least 2 of the other player’s cards are of the Diamond suit?
You are playing a simple card game with another friend, using a standard 52 card deck: four suits (Diamonds, Hearts, Clubs and Spades), 13 cards of each suit (numbers from 2 to 10, Jack, Queen, King and Ace). An honest card dealer, different from you two, picks 8 cards out of 52 cards at random and divides them evenly between you two, 4 cards each. (a) What is the probability that you get Ace, King, Queen and Jack of the Diamond suit? (b) What is the probability that you get Ace, King, Queen and Jack? (c) You have Ace, King, Queen and Jack of Diamonds. What is the probability that at least 2 of the other player’s cards are of the Diamond suit?
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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Question
You are playing a simple card game with another friend, using a standard 52 card deck:
four suits (Diamonds, Hearts, Clubs and Spades), 13 cards of each suit (numbers from 2
to 10, Jack, Queen, King and Ace). An honest card dealer, different from you two, picks 8
cards out of 52 cards at random and divides them evenly between you two, 4 cards each.
(a) What is theprobability that you get Ace, King, Queen and Jack of the Diamond
suit?
(b) What is the probability that you get Ace, King, Queen and Jack?
(c) You have Ace, King, Queen and Jack of Diamonds. What is the probability that at
least 2 of the other player’s cards are of the Diamond suit?
Page 1 of 2
four suits (Diamonds, Hearts, Clubs and Spades), 13 cards of each suit (numbers from 2
to 10, Jack, Queen, King and Ace). An honest card dealer, different from you two, picks 8
cards out of 52 cards at random and divides them evenly between you two, 4 cards each.
(a) What is the
suit?
(b) What is the probability that you get Ace, King, Queen and Jack?
(c) You have Ace, King, Queen and Jack of Diamonds. What is the probability that at
least 2 of the other player’s cards are of the Diamond suit?
Page 1 of 2
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VIEWStep 4: Determine the probability that at least 2 of the other player’s cards are of the Diamond suit.
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