MUTUALLY EXCLUSIVE EVENTS
Definition Of Mutually Exclusive Events
Two or more events are said to be mutually exclusive if they cannot occur at the same time.
In other words, events that have no outcomes in common are said to be mutually exclusive events or disjoint events.
If two events A and B are mutually exclusive, then the probability of the occurrence of A or B is the sum of the their individual probabilities 
.
Examples of Mutually Exclusive Events
A six-sided die is rolled once.
Event A : rolling an odd number
Event B : rolling an even number
Events A and B are mutually exclusive, because they cannot occur at the same time.
Video Examples: Mutually Exclusive Events in Probability
Solved Example on Mutually Exclusive Events
Ques: Two events A and B are mutually exclusive and 
Choices:
A. 
B. 
C. 
D. 
Correct Answer: A
Solution:
Step 1: when A and B are mutually exclusive events.
Step 2: 
Quick Summary
- Mutually exclusive events cannot happen simultaneously.
- The probability of either of two mutually exclusive events occurring is the sum of their individual probabilities.
🍎 Teacher Insights
Use real-world examples like flipping a coin or rolling a die to illustrate the concept. Emphasize the difference between 'or' and 'and' in probability calculations.🎓 Prerequisites
- Basic Probability
- Set Theory
Check Your Knowledge
Q1: Which of the following pairs of events are mutually exclusive when rolling a six-sided die?
Q2: If events A and B are mutually exclusive, and P(A) = 0.3 and P(B) = 0.4, what is P(A or B)?
Frequently Asked Questions
Q: Are independent events always mutually exclusive?
A: No, independent events can occur simultaneously. Mutually exclusive events cannot.
Q: If two events are mutually exclusive, what is the probability of their intersection?
A: The probability of the intersection of two mutually exclusive events is 0.