Скачать или смотреть Probability: JEE Main PYQ 2014 🧠| Conditional Probability & Independent Event | Ramesh Chandra IIT K

🚀 Unlock the Secrets of Probability for JEE Main & Advanced!
Welcome to a masterclass on Probability, a crucial topic for IIT JEE. In this video, we deconstruct a famous previous year question (PYQ) from JEE Main 2014 to build a rock-solid understanding of Independent Events, Conditional Probability, and Mutual Exclusivity.
This isn't just a solution video—it's a concept-building session that will give you the tools to tackle any probability problem confidently.

➤ Problem Statement:
Let A and B be two events such that P(AUB)' = 1/6, P(A^B) = 1/4 and P(A)'= 1/4, where A' stands for the complement of the event A. Then the events A and B are:
(A) Mutually exclusive and Independent. (B) Equally likely but not independent.
(C) independent but not equally likely✅ (D) independent and equally likely.
[JEE Main 2014]

➤ What You Will Learn & The VALUE You Get:
🧠 Foundation First: A clear revision of the fundamental formulas you MUST know:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A') = 1 - P(A)
Condition for Independence: P(A ∩ B) = P(A) * P(B)
Condition for Mutual Exclusivity: P(A ∩ B) = 0

⚡ The Strategic Approach: Learn the step-by-step problem-solving strategy for questions where probabilities are given indirectly through complements.
Step 1: Find P(A) from P(A')
Step 2: Find P(A ∪ B) from P(A ∪ B)'
Step 3: Use the Union Formula to find P(B)
Step 4: Check for Independence mathematically.
Step 5: Check for Equal Likelihood.

🤯 Conceptual Clarity: We move beyond formulas to build intuition.
Why can't events be mutually exclusive?
What does it truly mean for two events to be independent?
How are "Independent" and "Equally Likely" completely different concepts? This is a common point of confusion we clear up!

🎯 Exam Hall Shortcuts: Learn how to quickly eliminate wrong options to save precious time during your actual exam.

Video Timestamp
0:00 - 👋 Introduction to the JEE Main 2014 PYQ
0:10 - 📖 Reading the Problem
0:50 - 📚 Key Concepts Explained (Mutually Exclusive, Independent, Equally Likely)
2:07 - 🧠 Crucial Step: Finding P(A∪B) from its complement
2:34 - ➗ Calculating P(B) using the formula
3:19 - ❌ Checking for Mutually Exclusive Events (Option A is wrong)
3:38 - ✔️ Proving A and B are Independent
3:39 - ⚖️ Checking if they are Equally Likely (P(A) vs P(B))
4:05 - 🎯 Final Conclusion
4:10 - The correct answer is (C) Independent but not equally likely

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➤ Topics Covered:
JEE Main Probability Previous Year Question, Probability Class 12, Complement of an Event, P(A union B) formula, Independent Events, Equally Likely Events, Mutual Exclusivity, JEE Main Maths Preparation, IIT JEE problems, JEE Main 2025 Strategy.

➤ Useful for:
Students preparing for JEE Main 2025, JEE Advanced, CBSE Class 12 Board Exams, BITSAT, and other engineering entrance exams.

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Regards
Ramesh Chandra B.Tech IIT Kanpur
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