L13 | Probability | Multiplication Theorem Explainded in New Way | JEE Mains & Advanced 2026–28

Описание: In this lecture, we develop the Multiplication Theorem on Probability from the very foundation of conditional probability, instead of memorising formulas. This approach is extremely important for JEE Mains, JEE Advanced, and CBSE Class 11 examinations, where conceptual clarity matters more than rote learning.

We begin by understanding how probability changes when events occur sequentially, such as drawing balls or cards one after another, both with replacement and without replacement. Through carefully chosen examples, we analyse how the outcome of the first event affects the probability of the next event.

This lecture explains:

Why conditional probability is the backbone of the multiplication theorem

How to handle dependent events step by step

How to correctly interpret statements like “one of them is red”

How replacement changes the probability structure

How to avoid common mistakes students make in JEE exams

All problems are solved using logical sequencing, not shortcuts. This makes the lecture equally useful for:

JEE Mains conceptual clarity

JEE Advanced multi-step reasoning

CBSE board exam answers

Foundation students (Class 11 starting probability)

📌 Note: Questions involving advanced sequencing (Q7 & Q8) will be discussed in the next lecture.

⏱️ TIME STAMPS (EDIT-FRIENDLY & STUDENT-FRIENDLY)

00:00 – Introduction to Sequential Events in Probability
02:40 – Meaning of Conditional Probability (Conceptual Start)
07:10 – Event Occurring One by One Without Replacement
12:30 – Deriving Multiplication Theorem Using Logic
18:20 – Why Conditional Probability is Necessary
22:50 – Ball Problem: Two Balls Drawn Without Replacement
28:10 – Card Problem: Kings and Ace (Step-by-Step Thinking)
35:40 – With Replacement vs Without Replacement (Comparison)
41:20 – “One of Them Is…” Type Questions Explained
48:30 – JEE-Level Mixed Probability Question (Q6)
55:40 – Common Mistakes Students Make in Multiplication Theorem
59:20 – Lecture Summary & What Comes Next

🎯 IMPORTANT KEYWORDS (FOR SEO RANKING)

multiplication theorem probability

conditional probability class 11

probability jee mains

probability jee advanced

multiplication theorem without replacement

probability with replacement

dependent events probability

jee probability full concept

probability class 11 cbse

probability questions jee

sequential events probability

one by one probability problems

🧠 IMPORTANT TERMS STUDENTS MUST KNOW (FOR EXAMS)

Conditional Probability

Dependent Events

Sequential Events

Replacement and Non-Replacement

Simultaneous Occurrence

Sample Space Reduction

Logical Ordering of Events

Probability Tree Logic

Event Dependency

#JEEProbability
#ConditionalProbability
#MultiplicationTheorem
#jeemaths
#jee2026
#jee2027
#jee2028
#cbseclass12
#probabilityconcepts