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JEE-MAIN SERIES
Mathematics

Conditional Probability

7 previous year questions.

Volume: 7 Ques
Yield: Medium

High-Yield Trend

1
2026
3
2025
1
2023
1
2022
1
2019

Chapter Questions
7 MCQs

01
PYQ 2019
medium
mathematics ID: jee-main
Two integers are selected at random from the set {1, 2,...., 11}. Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is :
1
2
3
4
02
PYQ 2022
medium
mathematics ID: jee-main
Let and be two events such that the conditional probabilities , and ⋅ Then:
1

2

3

4

03
PYQ 2023
easy
mathematics ID: jee-main
If and are two events such that and , then is equal to
1
2
3
4
04
PYQ 2025
medium
mathematics ID: jee-main
Probability of event A is 0.7 and event B is 0.4, and , then the value of is equal to:
1
2
3
4
05
PYQ 2025
medium
mathematics ID: jee-main
A bag contains 19 unbiased coins and one coin with heads on both sides. One coin is drawn at random and tossed, and heads turns up. If the probability that the drawn coin was unbiased is , where , then is equal to:
1
80
2
60
3
72
4
64
06
PYQ 2025
medium
mathematics ID: jee-main

Given three identical bags each containing 10 balls, whose colours are as follows:

Bag I3 Red2 Blue5 Green
Bag II4 Red3 Blue3 Green
Bag III5 Red1 Blue4 Green

A person chooses a bag at random and takes out a ball. If the ball is Red, the probability that it is from Bag I is and if the ball is Green, the probability that it is from Bag III is , then the value of is:

1
6
2
9
3
7
4
8
07
PYQ 2026
hard
mathematics ID: jee-main

If a random variable has the probability distribution 

then is equal to

1
0.22
2
0.33
3
0.34
4
0.64

About Conditional Probability - JEE-MAIN

Conditional Probability is a vital chapter for JEE-MAIN aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

Frequently Asked Questions

Why focus on Conditional Probability PYQs?

Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

How to best use this analysis?

Review the topic breakdown to see which sub-topics within Conditional Probability carry the most weight. Then, tackle the questions iteratively to solidify your understanding.