NCERT Solutions for Class 12 Maths Chapter 13 – Probability Exercise 13.3

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Chapter 13 – Probability Exercise 13.3

1.

Probability question on binomial distribution – Class 12 Q1
Class 12 Probability Exercise 13.3 Question 1 step-by-step probability answer- NCERT Answer

2.

Exercise 13.3 Q2 – NCERT Class 12 probability scenario
Class 12 Probability Exercise 13.3 Question 2 Detailed method for solving- NCERT Answer

3.

Q3 from Exercise 13.3 involving multiple outcomes
Class 12 Probability Exercise 13.3 Question 3 answer setup using probability rules- NCERT Answer

4.

 Conceptual probability question – Class 12 Maths Q4
Initial steps to solve Q4 probability – Exercise 13.3
Q4 answer image with final values and logic

5.

 Advanced problem on selection and outcomes – Q5
 Answer for Q5 involving compound event solution
 Class 12 NCERT probability solution – Q5 final answer

6.

Q6 Class 12 probability application on compound events
Class 12 Q6 answer using total probability logic – part 1
Final computed probability for Q6 – answer continuation

7.

 Exercise 13.3 Q7 involving calculation of probabilities
Q7 answer part 1 showing case-based probability
Exercise 13.3 Q7 solution conclusion – part 2

8.

Class 12 Probability Exercise 13.3 Question 8-Binomial theorem use in probability problem- NCERT
 Binomial probability application – Q8 solution part 1
Final step and value for Q8 – Class 12 NCERT Maths

9.

Q9 answer solving multi-event probability – part 1
Second part of Q9 answer with complete logic

10.

Class 12 Probability Exercise 13.3 Question 10-case-based question- NCERT
Q10 breakdown using total outcomes and event logic
Final solution for Q10 probability from NCERT

11.

Class 12 Probability Exercise 13.3 Question 11-chance-based mathematical analysis
- NCERT
Class 12 Probability Exercise 13.3 Question 11 multi-stage probability steps- NCERT Answer

12.

Class 12 Probability Exercise 13.3 Question 12-selecting outcomes using probability- NCERT

13.

Class 12 Probability Exercise 13.3 Question 13-scenario applying basic and compound rules
- NCERT
Class 12 Probability Exercise 13.3 Question 13 Solution based on event analysis- NCERT Answer
Class 12 Probability Exercise 13.3 Question 13 final result with breakdown of each probability case
- NCERT Answer

14.

Class 12 Probability Exercise 13.3 Question 14-event calculations - NCERT

Download Exercise 13.3 NCERT Solutions PDF

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Class 12 Maths Chapter 13 – Probability: All Exercises

ExerciseLink
Exercise 13.1View Solutions
Exercise 13.2View Solutions
Miscellaneous ExerciseView Solutions

Class 12 Probability- Exercise 13.3 Overview

Exercise 13.3 on probability represents the most fascinating and practical one. Students investigate independent and dependent events here and learn how to use multiplication principles to determine the likelihood of merged events. Not only on board assessments but also on admission tests like JEE and CUET, this lays a fundamental basis for handling difficult probability problems.

Probability Class 12 NCERT Solutions Exercise 13.3’s questions center on whether two events influence one another and then on how likely numerous events could occur simultaneously using that knowledge. You’ll learn how to use concepts like P(A ∩ B) = P(A) × P(B|A), and when events are independent how that simplifies things to P(A) x P(B.

Drawing cards, tossing coins, or choosing students for an assignment—all real-life events—this exercise helps one gain comfort in managing complex events, identifying when outcomes are connected, and computing probability. Given the 2025 NCERT curriculum shift stressing real-world relevance, this component is essential for both conceptual clarity and exam preparation.

Our Cogniks products help students not only find the right answer but also truly understand why it is the right one by streamlining each question in logical, simple steps. Using Probability Class 12 NCERT Solutions Exercise 13.3 will help the whole subject seem considerably more manageable and under control.

FAQs – Probability Class 12 Exercise 13.3 NCERT

For this exercise, which formula ought I to recall?

In dependent events:
𝑃 (𝐴 ∩𝐵) = ⋅𝐴 ␵ ∣ 𝐴
P(A∩B)= P(A)⋅P(B∣A).
Regarding autonomous events:
𝑃 (𝐴 ∩𝐵) = ⋅𝑃 (𝐴 )
P(A ∩ B)=P(A)⋅P(B).

I’m always unsure about when to multiply chances. Any advice? 

Indeed, consider whether one occurrence depends on the outcome of another. If so, it is conditional and you must modify the likelihood of the second event. If not, simply multiply their respective chances. 

If I already know the basics, can I skip this exercise? 

Not really true. Here you begin to apply ideas from past exercises in fresh ways. Compound event problems—which are somewhat common on test papers—help you to develop your confidence.

Where can I find fully explained answers?

Cogniks.com provides entire Probability Class 12 NCERT Solutions Exercise 13.3 with step-by-step direction.

Class 12 Maths Chapters

Chapter 1 – Relations and Functions
Chapter 2 – Inverse Trigonometric Functions
Chapter 3 – Matrices
Chapter 4 – Determinants
Chapter 5 – Continuity and Differentiability
Chapter 6 – Application of Derivatives
Chapter 7 – Integrals
Chapter 8 – Application of Integrals
Chapter 9 – Differential Equations
Chapter 10 – Vector Algebra
Chapter 11 – Three Dimensional Geometry
Chapter 12 – Linear Programming
Chapter 13 – Probability

Important Questions for Class 12