JEE Mathematics
Conditional Probability & Bayes Theorem: JEE Questions & Solutions
15 previous-year JEE Mathematics questions on Conditional Probability & Bayes Theorem, each with a worked step-by-step solution.
Previous-year questions
- 01A bag contains 10 balls out of which k are red and (10-k) are black, where 0 ≤ k ≤ 10. If three balls are drawn at random without…MCQMediumJEE 2026
- 02Two balls are selected at random one by one without replacement from a bag containing 4 white and 6 black balls. If the probability that…MCQMediumJEE 2025
- 03If A and B are two events such that P(A ∩ B) = 0.1, and P(A| B) and P(B| A) are the roots of the equation 12x² - 7x + 1 = 0, then the value…MCQMediumJEE 2025
- 04Bag B₁ contains 6 white and 4 blue balls, Bag B₂ contains 4 white and 6 blue balls, and Bag B₃ contains 5 white and 5 blue balls. One of…MCQMediumJEE 2025
- 05Given 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…MCQMediumJEE 2025
- 06A card from a pack of 52 cards is lost. From the remaining 51 cards, n cards are drawn and are found to be spades. If the probability of…NVAMediumJEE 2025
- 07A 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…MCQMediumJEE 2025
- 08If A and B are two events such that P(A) = 0.7, P(B) = 0.4 and P( A ∩ B) = 0.5, where B denotes the complement of B, then P( B | ( A ∪ B))…MCQMediumJEE 2025
- 09Bag A contains 3 white and 7 red balls, and bag B contains 3 white and 2 red balls. One bag is selected at random, and a ball is drawn. The…MCQEasyJEE 2024
- 10A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at random without replacement and it was found that 2…MCQMediumJEE 2024
- 11Three urns A, B, and C contain 7 red, 5 black; 5 red, 7 black; and 6 red, 6 black balls, respectively. One of the urns is selected at…MCQMediumJEE 2024
- 12The urns A, B, and C contain 4 red, 6 black; 5 red, 5 black, and λ red; 4 black balls respectively. One of the urns is selected at random,…NVAMediumJEE 2023
- 1325% of the population are smokers. A smoker has 27 times more chances to develop lung cancer than a non-smoker. If a person is diagnosed…NVAMediumJEE 2023
- 14A bag contains 6 balls. Two balls are drawn from it at random and both are found to be black. The probability that the bag contains at…MCQMediumJEE 2023
- 15In a bolt factory, machines A, B, and C manufacture respectively 20%, 30%, and 50% of the total bolts. Of their output, 3%, 4%, and 2% are…MCQEasyJEE 2023
Frequently asked questions
Our bank has 15 previous-year JEE Mathematics questions tagged to Conditional Probability & Bayes Theorem, drawn from JEE papers between 2023 and 2026, including 1 from 2026 alone. Each comes with a full step-by-step solution.
Conditional Probability & Bayes Theorem is rated Intermediate overall for JEE Mathematics. The PYQs on this page break down as 13 medium, 2 easy.
Of the 15 previous-year questions on Conditional Probability & Bayes Theorem, 12 are multiple-choice (MCQ) and 3 are numerical-value (NVA) questions.
Based on recent paper analysis, Conditional Probability & Bayes Theorem is worth about 1 mark in JEE Main. It sits in Statistics & Probability, a Class 11 Mathematics chapter.
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