Skip to Content
Mathematics for Engineers
book

Mathematics for Engineers

by Ritu Shrivastava, Ramakant Bhardwaj, Satyendra Narayan
June 2025
Intermediate to advanced
576 pages
11h 26m
English
Wiley-Scrivener
Content preview from Mathematics for Engineers

10Probability

A diagrammatic representation of a probability and its associated concepts. It depicts cards, dice, and balls used for reference examples.

Objectives: This chapter

  • Explains Probability and its associated concepts.

10.1 Introduction

The theory of Probability originated in the seventeenth century. In 1654, the Paris gambler Le Chevalier de Méré asked Blaise Pascal about certain probabilities that occurred in gaming, such as, if a game is interrupted in the middle, what is the chance that each player would have won had the game continued?

Pascal was intrigued and wrote this question to the eminent mathematician Pierre de Fermat. Russians like Andrei Andreyevich Markov, Andrey Nikolayevich Kolmogorov, and Pafnuty L. Chebyshev created a more traditional mathematical theory of Probability at the start of the 20th century.

American authors Joe Doob and William Feller produced seminal works on probability theory’s mathematical foundations in the 1950s. They made the topic well-known in the West as a crucial branch of pure mathematics with important applications in physics, chemistry, and subsequently, computer science, economics, and finance.

Probability is the science of uncertainty. It provides specific mathematical rules for understanding and analyzing our unfamiliarity. It does not tell us tomorrow’s plan or next week’s weather; instead, it gives us a basis for working with our limited knowledge to make sensible decisions.

Reference: swp0068.dvi (toronto.edu)

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.

Read now

Unlock full access

More than 5,000 organizations count on O’Reilly

AirBnbBlueOriginElectronic ArtsHomeDepotNasdaqRakutenTata Consultancy Services

QuotationMarkO’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.
Julian F.
Head of Cybersecurity
QuotationMarkI wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.
Addison B.
Field Engineer
QuotationMarkI’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.
Amir M.
Data Platform Tech Lead
QuotationMarkI'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
Mark W.
Embedded Software Engineer

You might also like

Advanced Engineering Mathematics, 10th Edition

Advanced Engineering Mathematics, 10th Edition

Erwin Kreyszig, Herbert Kreyszig, Edward J. Norminton
Engineering Mathematics

Engineering Mathematics

P. Sivaramakrishna Das, C. Vijayakumari

Publisher Resources

ISBN: 9781394214587