TY - CHAP

T1 - Probability Theory

AU - Amirteimoori, Alireza

AU - Sahoo, Biresh K.

AU - Charles, Vincent

AU - Mehdizadeh, Saber

N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2022

Y1 - 2022

N2 - Probability theory is a branch of mathematical science that deals with the mathematical analysis of random events. Probability is commonly used to describe the mind’s attitude to statements that we are not sure of. Statements usually take the form of “Will a particular event occur?” and the attitude of our minds will be of the form “How confident are we that this event will occur?” Our confidence can be described numerically, which is a value between 0 and 1 that we call probability. The more likely to occur an event is, the more confident we are that it will occur. The focus in this chapter is mainly on probability space, random variable, multi-dimensional probability distribution, expected value, variance, and covariance.

AB - Probability theory is a branch of mathematical science that deals with the mathematical analysis of random events. Probability is commonly used to describe the mind’s attitude to statements that we are not sure of. Statements usually take the form of “Will a particular event occur?” and the attitude of our minds will be of the form “How confident are we that this event will occur?” Our confidence can be described numerically, which is a value between 0 and 1 that we call probability. The more likely to occur an event is, the more confident we are that it will occur. The focus in this chapter is mainly on probability space, random variable, multi-dimensional probability distribution, expected value, variance, and covariance.

UR - http://www.scopus.com/inward/record.url?scp=85121280338&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-89869-4_3

DO - 10.1007/978-3-030-89869-4_3

M3 - Chapter

AN - SCOPUS:85121280338

T3 - International Series in Operations Research and Management Science

SP - 31

EP - 54

BT - International Series in Operations Research and Management Science

PB - Springer

ER -