Algebra
Textbooks
Boundless Algebra
Combinatorics and Probability
Algebra Textbooks Boundless Algebra Combinatorics and Probability
Algebra Textbooks Boundless Algebra
Algebra Textbooks
Algebra

Section 3

Probability

Book Version 13
By Boundless
Boundless Algebra
Algebra
by Boundless
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8 concepts
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Fundamentals of Probability

Probability is the branch of mathematics that deals with the likelihood that certain outcomes will occur. There are five basic rules, or axioms, that one must understand while studying the fundamentals of probability.

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Unions and Intersections

Union and intersection are two key concepts in set theory and probability.

Conditional Probability

The conditional probability of an event is the probability that an event will occur given that another event has occurred.

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Complementary Events

The complement of $A$ is the event in which $A$ does not occur.

The Addition Rule

The addition rule states the probability of two events is the sum of the probability that either will happen minus the probability that both will happen.

The Multiplication Rule

The multiplication rule states that the probability that $A$ and $B$ both occur is equal to the probability that $B$ occurs times the conditional probability that $A$ occurs given that $B$ occurs.

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Independence

To say that two events are independent means that the occurrence of one does not affect the probability of the other.

Experimental Probabilities

The experimental probability is the ratio of the number of outcomes in which an event occurs to the total number of trials in an experiment.

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