Suppose you draw 5 cards from a standard deck of 52 playing cards. (a) What is the probability that the hand contains exactly 3 cards from the heart suit? (b) What is the probability that the hand contains 4 or fewer cards from the heart suit?

Suppose you draw 5 cards from a standard deck of 52 playing cards. (a) What is the probability that the hand contains exactly 3 cards from the heart suit? (b) What is the probability that the hand contains 4 or fewer cards from the heart suit?

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter17: Markov Chains

Section17.6: Absorbing Chains

Problem 7P

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Concept explainers

Random Variables

A random variable Z is a real valued function of the type Z: S → R on a sample space S. That means the function assigns a real number to every primitive event in the sample space. In other words, a random variable is a function mapping a sample space S to a set of real numbers R.

Question

cs hw help

Suppose you draw 5 cards from a standard deck of 52 playing cards.
(a) What is the probability that the hand contains exactly 3 cards from the heart suit?
(b) What is the probability that the hand contains 4 or fewer cards from the heart suit?
(c) What is the probability that every card in the hand is from a different suit?
(d) What is the probability that every card in the hand is red OR every card in the hand is black?

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