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 I | 3 Red | 2 Blue | 5 Green |
| Bag II | 4 Red | 3 Blue | 3 Green |
| Bag III | 5 Red | 1 Blue | 4 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