Why Product of Probabilities (Masses) for Independent Events? A Remark
نویسندگان
چکیده
For independent events A and B, the probability P (A & B) is equal to the product of the corresponding probabilities: P (A&B) = P (A) · P (B). It is well known that the product f(a, b) = a ·b has the following property: once n ∑ i=1 P (Ai) = 1 and m ∑ j=1 P (Bj) = 1, the probabilities P (Ai & Bj) = f(P (Ai), P (Bj)) also add to 1: n ∑
منابع مشابه
Why Product of Probabilities (Masses) for Independent Events? A Theorem
For independent events A and B, the probability P (A & B) is equal to the product of the corresponding probabilities: P (A&B) = P (A) · P (B). It is well known that the product f(a, b) = a ·b has the following property: once n ∑ i=1 P (Ai) = 1 and m ∑ j=1 P (Bj) = 1, the probabilities P (Ai & Bj) = f(P (Ai), P (Bj)) also add to 1: n ∑
متن کاملارزیابی ریسک احتمالی به روش آنالیز درخت خطای فازی بر پایه ی دو نوع توزیع امکان وقوع نقص در صنایع فرآیندی
Introduction: Probabilistic risk assessment using fault tree analysis is an effective tool to assess occurrence probability of hazardous events in chemical process industries. Unfortunately, the failure occurrence probability of the basic events are often not available in process industries. The aim of this study is how calculate basic events failure occurrence probability when basic events do ...
متن کاملThe reliability Wiener number of cartesian product graphs
Reliability Wiener number is a modification of the original Wiener number in which probabilities are assigned to edges yielding a natural model in which there are some (or all) bonds in the molecule that are not static. Various probabilities naturally allow modelling different types of chemical bonds because chemical bonds are of different types and it is well-known that under certain condition...
متن کاملHedonic Pricing under Uncertainty: A Theoretical Consumer Behavior Model
A model of consumer behavior has been formulated by using an additive utility function and the hedonic pricing approach, in a virtual market. Since, there is a time lag between ordering and purchasing products (goods and services) online and receiving them, it means the consumer makes decision under uncertainty. The level of satisfaction with products with distinctive characteristics is describ...
متن کاملFuzzy Quantum Probability Theory
This paper surveys some of the recent results that have been obtained in fuzzy quantum probability theory. In this theory fuzzy events are represented by quantum effects and fuzzy random variables are represented by quantum measurements. Probabilities, conditional probabilities and sequential products of effects are discussed. The relationship between the law of total probability and compatibil...
متن کامل