# CSCE 222 CSCE222 Chapter 7 Discrete Probability Culture Assignment – Texas A&M

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## CSCE 222 CSCE222 Chapter 7 Discrete Probability Culture Assignment – Texas A&M

For the following Culture Assignment, the topic will be Chapter 7: Discrete Probability from Rosen Discrete Mathematics and Its Applications 7thEdition.

Discrete Probability was initially intended for the use of gambling back in the early days. But overtime, with its theoretical concept, it was applied to a multitude of subjects that would benefit our understandings and predictions that would create a better society.

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## CSCE 222 CSCE222 Chapter 7 Discrete Probability Culture Assignment – Texas A&M

For the following Culture Assignment, the topic will be Chapter 7: Discrete Probability from Rosen Discrete Mathematics and Its Applications 7thEdition.

Discrete Probability was initially intended for the use of gambling back in the early days. But overtime, with its theoretical concept, it was applied to a multitude of subjects that would benefit our understandings and predictions that would create a better society.

Such as, Discrete Probability could be used for genetics, as researchers and scientists would be able to understand and predict the inheritance of traits to learn more of what we, as humans, have to offer. In the field of computer science, discrete probability plays a major role in the study of complex algorithms.

Algorithms that model certain events in the world that would benefit society on how much resources should be used up. Such as for the predicted number of people who would come to get a flu shot, and how much flu shots should be prepared so that there isn’t spoilage of any resources.

A method based in combinatorics, depicted by Paul Erd’os and Alfred Renyi, is called the probabilistic method. The probabilistic method demonstrates that an event/ object with a specific feature exists through the showing of a positive probability that an object/ event, out of random, has the same feature.

This theory/ concept can be depicted as if S is a finite space of likely outcomes, and E is an

## CSCE 222 CSCE222 Chapter 7 Discrete Probability Culture Assignment – Texas A&M

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## CSCE 222 CSCE222 Chapter 7 Discrete Probability Culture Assignment – Texas A&M

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## CSCE 222 CSCE222 Chapter 7 Discrete Probability Culture Assignment – Texas A&M

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## CSCE 222 CSCE222 Chapter 7 Discrete Probability Culture Assignment – Texas A&M

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## CSCE 222 CSCE222 Chapter 7 Discrete Probability Culture Assignment – Texas A&M

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## CSCE 222 CSCE222 Chapter 7 Discrete Probability Culture Assignment – Texas A&M

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## CSCE 222 CSCE222 Chapter 7 Discrete Probability Culture Assignment – Texas A&M

Truth value of the…Discrete Mathematics and Its Applications Ch 2, Section 2.1 Sets, Exercise 1The given set contains the values of x which are the solutions of the equation {{x}^{2}}=1 .Discrete Mathematics and Its

Applications Ch 3, Section 3.1 Algorithms, Exercise 1The first number in the series is assigned to the variable max . Then, the algorithm recursively…Discrete Mathematics and Its Applications Ch 4, Section 4.1

Divisibility and Modular Arithmetic , Exercise 1A nonzero integer a divides another integer b if \dfrac{b}{a} results in an integer. Clearly,…Discrete Mathematics and Its Applications Ch 5, Section 5.1 Mathematical Induction , Exercise 1Let P\left( n \right) be “Vehicle T stops at a station n “.

Basis step: According to the…Discrete Mathematics and Its Applications Ch 6, Section 6.1 The Basics of Counting, Exercise 1Find the number of ways in which one representative can be picked from 18 M majors.

## CSCE 222 CSCE222 Chapter 7 Discrete Probability Culture Assignment – Texas A&M

Use the product…Discrete Mathematics and Its Applications Ch 7, Section 7.1 An Introduction to Discrete Probability , Exercise 1Use the Laplace’s definition of probability for an event.Discrete Mathematics and Its Applications Ch 8, Section 8.1 Applications of Recurrence Relations , Exercise 1Let P\left( n \right) be {{H}_{n}}={{2}^{n}}-1 .

Show that it is true for n=1 . When it is only one…Discrete Mathematics and Its Applications Ch 9, Section 9.1 Relations and Their Properties , Exercise 1Define the relation R=\left\{ \left( a,b \right)|a=b \right\} . The elements common to both the…

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## CSCE 222 CSCE222 Chapter 7 Discrete Probability Culture Assignment – Texas A&M

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