QUESTION 4 A standard deck of playing cards consists of 52 cards. Each card has a rank and a suit. There are 13 possible ranks (A, 2, 3, 4, 5, 6, 7, 8, 9, 1 0, J, Q, K), 4 possible suits (spades, clubs, hearts, diamonds), and 13 cards for each suit. Assume that all outcomes are equally likely. What is the probability that a hand of 5 cards dealt from the deck contains only hearts given that 3 of the cards in the hand are the ace of hearts, the queen of hearts, and the king of hearts? Your answer should be a number between 0 and 1. Round off to three decimal points.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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QUESTION 4
A standard deck of playing cards consists of 52 cards. Each card has a rank and a suit. There are 13 possible ranks (A, 2, 3, 4, 5, 6, 7, 8, 9, 1
0, J, Q, K), 4 possible suits (spades, clubs, hearts, diamonds), and 13 cards for each suit. Assume that all outcomes are equally likely. What is the
probability that a hand of 5 cards dealt from the deck contains only hearts given that 3 of the cards in the hand are the ace of hearts, the
queen of hearts, and the king of hearts? Your answer should be a number between 0 and 1. Round off to three decimal points.
Transcribed Image Text:QUESTION 4 A standard deck of playing cards consists of 52 cards. Each card has a rank and a suit. There are 13 possible ranks (A, 2, 3, 4, 5, 6, 7, 8, 9, 1 0, J, Q, K), 4 possible suits (spades, clubs, hearts, diamonds), and 13 cards for each suit. Assume that all outcomes are equally likely. What is the probability that a hand of 5 cards dealt from the deck contains only hearts given that 3 of the cards in the hand are the ace of hearts, the queen of hearts, and the king of hearts? Your answer should be a number between 0 and 1. Round off to three decimal points.
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