JEE Main Maths · Probability

Conditional Probability in JEE Main

Name: Conditional Probability: JEE Main previous year questions
Creator: Lumi

Conditional Probability (Maths, Probability) came 9 times in 9 of the 42 JEE Main shifts Lumi analysed, across 9 distinct ideas. 6 of them came in 2024–26; it was last asked in 2026.

Questions: 9; in 9 shifts
Ideas asked: 9; 0 asked more than once
Numerical answer: 0; 0% of its questions
Pattern: Asked most years; last asked 2026

Questions each year

In the shifts Lumi analysed for each year.

Difficulty and format

Easy 4Medium 5Hard 0

Format

Single correct9 Q

Ideas inside the topic

9 ideas

Conditional Probability Definition1 Q
Conditional Probability in Infinite Games1 Q
Independence Criterion1 Q
Conditioning on a Complementary Event1 Q
Conditioning on a Union of Events1 Q
Reduced Sample Space Method1 Q
Bayes' Theorem with Partial String Evidence1 Q
Law of Total Probability1 Q
Drawing Without Replacement1 Q

Where it sits

Part of Probability, which had 49 questions in all. Conditional Probability accounts for 18% of them. In Lumi's JEE taxonomy it belongs to Algebra.

Every question

All 9 Conditional Probability questions

Newest first, each with its options and official answer.

5 Apr 2026, Shift 1 · Q7A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the envelope just two consecutive letters AN are…MediumSingle correct
5 Apr 2026, Shift 2 · Q8The probabilities that players A and B of a team are selected for the captaincy for a tournament are 0.6 and 0.4, respectively. If A is…EasySingle correct
6 Apr 2026, Shift 2 · Q9A bag contains 6 blue and 6 green balls. Pairs of balls are drawn without replacement until the bag is empty. The probability that each…MediumSingle correct
8 Apr 2025, Shift 2 · Q9If $A$ and $B$ are two events such that $P(A) = 0.7$ , $P(B) = 0.4$ and $P(A \cap \overline{B}) = 0.5$ , where $\overline{B}$ denotes the…MediumSingle correct
29 Jan 2024, Shift 1 · Q19A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number of throws, isMediumSingle correct
31 Jan 2024, Shift 1 · Q19Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacement being made…EasySingle correct
28 Jul 2022, Shift 1 · Q9Out of 60% female and 40% male candidates appearing in an exam, 60% candidates qualify it. The number of females qualifying the exam is…EasySingle correct
3 Aug 2021, Shift 2 · Q78A dice is thrown twice. If $A$ is the event that the sum of numbers appearing on them is 7 and $B$ is the event that number 5 appears at…EasySingle correct
8 Jan 2020, Shift 1 · Q68Let A and B be two independent events such that $P(A)=\frac{1}{3}$ and $P(B)=\frac{1}{6}$ . Then, which of the following is TRUE ?MediumSingle correct