What is a complementary event?
Understand the Problem
The question is asking about the concept of a complementary event in probability. A complementary event refers to the event that represents all outcomes not included in the event of interest. To solve it, we would explain the term and provide examples.
Answer
Complementary events are mutually exclusive and exhaustive, occurring if and only if the other does not.
Complementary events are two events where one occurs if and only if the other does not. They must be mutually exclusive and exhaustive.
Answer for screen readers
Complementary events are two events where one occurs if and only if the other does not. They must be mutually exclusive and exhaustive.
More Information
In probability theory, if the occurrence of one event means the other cannot happen, and all possible outcomes are covered by these two events, they are complementary.
Tips
It's important not to confuse complementary events with independent events. Always ensure the events are both mutually exclusive and exhaustive.
Sources
- What are Complementary Events in Probability - Solved Problems - byjus.com
- Complementary Events: Definition, Examples, Rule of - statisticshowto.com
- A Short Note on Complementary Events - unacademy.com
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