Higher MathFundamental ConceptNCTB উচ্চতর গণিত অধ্যায় ১৪ (সম্ভাবনা)
Classical Probability
Bengali: ক্লাসিক্যাল সম্ভাবনা•Pronunciation: প্রোবাবিলিটি•Symbol: P(E)
Standard Definition:
The measure of the likelihood that an event will occur, quantified as the ratio of favorable outcomes to total sample space outcomes.
📐 Mathematical Equation, Units & Dimensions
Defining Mathematical Equation
Standard SI Unit
Dimensionless ratio / percentage(এককবিহীন ভগ্নাংশ বা শতকরা হার)
Dimensional Analysis
CGS Unit
None
📖 Physical Concept & Comprehensive Explanation
Quantifies certainty and chance across a normalized range [0, 1]. An impossible event has probability 0; a certain event has probability 1. Mutually exclusive outcomes follow the addition theorem P(A U B) = P(A) + P(B).
🎯 High-Yield Revision Points
- ✓Bounded strictly between 0 and 1.
- ✓Certain events have P = 1; impossible events have P = 0.
- ✓Calculated as favorable events over sample space size.
Use Online Solver for Classical Probability
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❓ Frequently Asked Exam Questions (FAQ)
Common questions in board and competitive entrance examinations
Q1: What is the probability of rolling an even number on a fair die?
Sample space = 6, favorable events {2, 4, 6} = 3. Probability P = 3/6 = 1/2 (50%).