Class 10 Math | PTB New Book | Unit 12: Probability | Addition Law of Probability & Venn Diagram

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In this video, we continue Unit 12: Probability from the Class 10 Mathematics PTB New Book. This lesson explains the Addition Law of Probability and the use of Venn Diagrams to solve probability problems involving two events.

You will learn how to calculate the probability of the occurrence of Event A or Event B, distinguish between mutually exclusive and non-mutually exclusive events, and apply the correct probability formula using clear Venn diagrams and step-by-step solved examples.

This topic is one of the most important concepts in probability and is frequently tested in SSC Part-II Board Examinations.

📚 Topics Covered:

✅ Addition Law of Probability
✅ Union of Two Events (A ∪ B)
✅ Intersection of Two Events (A ∩ B)
✅ Mutually Exclusive Events
✅ Non-Mutually Exclusive Events
✅ Venn Diagram Representation
✅ Finding the Probability of Combined Events
✅ Solved Examples with Step-by-Step Explanation
✅ Important Board Examination Tips and Shortcuts

📖 Important Definitions:

Addition Law of Probability:
The rule used to find the probability that Event A or Event B (or both) will occur.

Union of Events (A ∪ B):
The event that A occurs, or B occurs, or both occur.

Intersection of Events (A ∩ B):
The event in which both A and B occur simultaneously.

Venn Diagram:
A diagram that uses overlapping circles to visually represent sets or events and their relationships.

📖 Important Formulas:

For Non-Mutually Exclusive Events:

P(A∪B)=P(A)+P(B)−P(A∩B)

For Mutually Exclusive Events:

P(A∪B)=P(A)+P(B)

since

P(A∩B)=0
🎯 What You Will Learn:
What the Addition Law of Probability is.
How to use Venn diagrams to solve probability problems.
The difference between mutually exclusive and non-mutually exclusive events.
How to apply the correct probability formula.
Easy methods for solving board examination questions accurately.
🎓 This video is helpful for:
Class 10 PTB Mathematics Students
SSC Part-II Board Examination Preparation
Punjab Board Students
School Tests and Assignments
Teachers and Self-Learners

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