What is the complement rule in probability?
Understand the Problem
The question is asking about the complement rule in probability, which is a fundamental concept that describes how to calculate the probability of an event not occurring based on the probability of the event occurring.
Answer
The sum of the probabilities of an event and its complement is 1.
The complement rule in probability states that the sum of the probabilities of an event and its complement is equal to 1.
Answer for screen readers
The complement rule in probability states that the sum of the probabilities of an event and its complement is equal to 1.
More Information
The complement of an event A is the set of all outcomes in the sample space that are not in A. This rule utilizes the fact that together, an event and its complement cover all possible outcomes.
Tips
A common mistake is forgetting that the event and its complement must be mutually exclusive and exhaustive.
Sources
- Complement Rule for Probability | CK-12 Foundation - flexbooks.ck12.org
- 3.4 The Complement Rule – Introduction to Statistics - ecampusontario.pressbooks.pub
- Complement Rule - Statistics Resources - National University Library - resources.nu.edu
