Reliability Analysis of Structures 5 min read
What Is a Random Variable?
If you have ever taken an algebra class, you probably learned about different variables like x, y and maybe even z. Some examples of…
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Bayes’ Theorem Definition
What is the Bayes’ Theorem? Bayes’ theorem, named after 18th-century British mathematician Thomas Bayes, is a mathematical formula for determining conditional probability.…
Reliability Analysis of Structures 2 min read
Total Probability Theorem
The probability is the likelihood of an event. The probability of an event going to happen is 1 and for…
Reliability Analysis of Structures 30 min read
Fault Tree Diagrams and System Analysis
BlockSim allows system modeling using both reliability block diagrams (RBDs) and fault trees. This chapter introduces basic fault tree analysis…
Reliability Analysis of Structures 4 min read
Conditional Probability
What Is Conditional Probability? Conditional probability is defined as the likelihood of an event or outcome occurring, based on the…
Reliability Analysis of Structures 4 min read
The Multiplication Rule of Probability
The Multiplication Rule of Probability is a concept you will use frequently when solving probability equations. In this lesson, learn…
Reliability Analysis of Structures 4 min read
Addition Rules for Probability
1. The number rolled can be a 2. 2. The number rolled can be a 5. Events: These events are mutually exclusive since…
Reliability Analysis of Structures 3 min read
Axiomatic Probability
Axiomatic probability is a unifying probability theory. It sets down a set of axioms (rules) that apply to all of types…
Reliability Analysis of Structures 8 min read
Probability interpretations
The word probability has been used in a variety of ways since it was first applied to the mathematical study of games of…
Reliability Analysis of Structures 2 min read
Event Space
An event space contains all possible events for a given experiment or happening. An event is just a set of outcomes of an experiment, combined with…
Reliability Analysis of Structures 4 min read
What is a Venn Diagram
A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of…
Reliability Analysis of Structures 3 min read
Sample Spaces and Events
Rolling an ordinary six-sided die is a familiar example of a random experiment, an action for which all possible outcomes can…