ELEMENTARY EVENTS
Definition Of Elementary Events
An Elementary Event is any single outcome or element of a sample space.
More About Elementary Events
An Elementary Event is any single outcome or element of a sample space.
Video Examples:Sets (Elementary Mathematics Secondary 3/4)
Example of Elementary Events
When two coins are tossed simultaneously, the possible outcomes are HH, HT, TH, and TT.
Any one outcome like {HH} is called an Elementary event of the sample space {HH, HT, TH, TT}.
Solved Example on Elementary Events
Ques: Two 6-sided dice are rolled simultaneously. List all the outcomes, where the sum of the two numbers is 7, and identify the elementary events.
Choices:
A. (4, 4), (5, 1), (6, 3); (4, 4)
B. (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1); (1, 6)
C. (1, 5), (2, 6), (3, 3); (1, 5)
D. None of the above
Correct Answer: B
Solution:
Step 1: An outcome is the result of a single trial of an experiment.
Step 2: The outcomes, where the sum of the two numbers is 7, are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1).
Step 3: Any one of the outcomes (1, 6) 
{(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)} is called the Elementary Event.
Quick Summary
- An elementary event represents one possible result of an experiment.
- The sample space is the set of all possible elementary events.
🍎 Teacher Insights
Use real-world examples like coin flips and dice rolls to illustrate the concept of elementary events.🎓 Prerequisites
- Basic set theory
- Understanding of sample space
Check Your Knowledge
Q1: A coin is tossed once. Which of the following is an elementary event?
Frequently Asked Questions
Q: What is the difference between an event and an elementary event?
A: An elementary event is a single outcome, while an event can be a collection of one or more elementary events.