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Copyright (c) A|iens. All rights reserved.

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Overview
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Copyright (c) A|iens. All rights reserved. — Quick Facts

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Property: Detail

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Full Name: Probability (Mathematical…

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Category: Mathematics / Statistics / Logic

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Notation: P(A), Pr(A), ℙ(A)

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Infobox

📚 | Property | Detail | |---|---| | Full Name | Probability (Mathematical Probability…
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1. Basic Concepts

💡 | Concept | Definition | Coin Example | Dice Example | |---|---|---|---| | Experiment |…
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2. Probability Scale

🎯 | Probability | Meaning | Percentage | Everyday Example | |---|---|---|---| | 0 |…
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3. Types of Probability

⭐ | Type | Definition | Method | Example | Limitation | |---|---|---|---|---| | Classical…
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4. Probability Calculation Flow

🔑 `mermaid flowchart TD START["🎯 Problem Statement<br/>'Dice me even number aane<br/>ki…
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5. Basic Probability Rules

✨ | Rule | Formula | When to Use | Example | |---|---|---|---| | Complement | P(A') = 1 −…
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6. Conditional Probability and Bayes' Theorem

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P(Positive) = P(Pos\|Disease) ×…

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P(Positive) = 0.99 × 0.01 + 0.05 ×…

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P(Disease\|Positive) = (0.99 ×…

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7. Independent vs Dependent Events

🚀 | Aspect | Independent Events | Dependent Events | |---|---|---| | Definition | Ek event…
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8. Probability Distributions

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68-95-99.7 Rule: Data ka ~68% mean…

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Bell curve sabse important…

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9. Probability in Computer Science

💡 | Application | How Probability Is Used | Example | |---|---|---| | Randomized Algorithms…
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10. Probability in Machine Learning / AI

🎯 | ML Application | Probability Role | How It Works | |---|---|---| | Naive Bayes…
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11. Probability in Everyday Life

⭐ | Scenario | Probability Application | How | |---|---|---| | Weather Forecast | "40%…
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12. Expected Value

🔑 Expected Value (E[X]) ek random variable ka weighted average hai — har outcome ko uski…
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13. Common Mistakes

✨ 1. Probability > 1 calculate karna — Probability kabhi 1 se zyada nahi hoti. Agar tumhara…
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14. Best Practices

🌟 1. Sample space pehle define karo — Probability calculate karne se pehle hamesha sab…
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15. Glossary

🚀 | Term | Definition | |---|---| | Probability | Event ke hone ki likelihood ka…
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18. Disclaimer

📚 Yeh article Aliens Wiki ka part hai aur educational/reference purposes ke liye likha gaya…
Comparison
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7. Independent vs Dependent Events

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Definition: Ek event ka outcome doosre…

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Formula: P(A ∩ B) = P(A) × P(B)

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Example: Do coin flips

Diagram
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Visual Flow

📊 Diagram visualization — details in narration
Related Topics

See Also

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Algorithm

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Statistics

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Machine_learning

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Bayesian_inference

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Cryptography

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Hash_function

Quick Quiz
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Quiz — Question 1

Copyright (c) A|iens. All rights reserved. ka sabse sahi definition kya hai?

Quick Quiz
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Quiz — Question 2

Copyright (c) A|iens. All rights reserved. ka 'Full Name' kya hai?

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