PrepWiser › Learn › Mathematics › Probability — AdvancedProbability — Advanced — JEE Main PYQs & Practice Questions Probability — Advanced is a Mathematics chapter in the JEE Main syllabus. This page brings together 97 previous-year and practice questions on Probability — Advanced, organised into 5 topics: Conditional Probability, Independent Events, Bayes' Theorem, Random Variables and Distributions and Binomial Distribution. Most questions come with a step-by-step solution you can work through free in PrepWiser.
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Conditional Probability Independent Events Bayes' Theorem A company has two plants A and B to manufacture motorcycles. 60 % motorcycles are… Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50… 25% of the population are smokers. A smoker has 27 times more chances to develop lung… A bag contains 10 balls out of which k are red and (10-k) are black, where 0≤ k≤ 10. If… The probabilities that players A and B of a team are selected for the captaincy for a… A bag contains (N+1) coins -N fair coins, and one coin with 'Head' on both sides. A coin… A candidate has to go to the examination centre to appear in an examination. The… A bag contains 6 white and 4 black balls. A die is rolled once and the number of balls… A bag contains 19 unbiased coins and one coin with head on both sides. One coin drawn at… In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and… A card from a pack of 52 cards is lost. From the remaining 51 cards, n cards are drawn… There are three bags X, Y and Z. Bag X contains 5 one-rupee coins and 4 five-rupee… Out of 60 % female and 40 % male candidates appearing in an exam, 60 % candidates… Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n… A pack of cards has one card missing. Two cards are drawn randomly and are found to be… Bag A contains 3 white, 7 red balls and Bag B contains 3 white, 2 red balls. One bag is… A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the… Bag I contains 3 red, 4 black and 3 white balls and Bag II contains 2 red, 5 black and 2… In a bolt factory, machines A, B and C manufacture respectively 20 %, 30 % and 50 % of… Bag B₁ contains 6 white and 4 blue balls, Bag B₂ contains 4 white and 6 blue balls, and… Random Variables and Distributions Binomial Distribution A pair of dice is thrown 5 times. For each throw, a total of 5 is considered a success… A fair coin is tossed n-times such that the probability of getting at least one head is… Let a biased coin be tossed 5 times. If the probability of getting 4 heads is equal to… The sum and product of the mean and variance of a binomial distribution are 82.5 and… In a binomial distribution B(n,p), the sum and the product of the mean and the variance… Let X be a random variable having binomial distribution B(7, p). If P(X = 3) = 5P(x =… The random variable X follows binomial distribution B(n, p), for which the difference of… The mean and variance of a binomial distribution are α and α/3 respectively. If… Let in a Binomial distribution, consisting of 5 independent trials, probabilities of… In a bombing attack, there is 50% chance that a bomb will hit the target. Atleast two… A student appeared in an examination consisting of 8 true-false type questions. The… In a tournament, a team plays 10 matches with probabilities of winning and losing each… A fair coin is tossed a fixed number of times. If the probability of getting 7 heads is… Let X be a binomially distributed random variable with mean 4 and variance 4/3. Then, 54… If a random variable X follows the Binomial distribution B(33, p) such that 3P(X = 0) =… Four fair dice are thrown independently 27 times. Then the expected number of times, at… An ordinary dice is rolled for a certain number of times. If the probability of getting… From a lot containing 10 defective and 90 non-defective bulbs, 8 bulbs are selected one… If the sum and the product of mean and variance of a binomial distribution are 24 and… Let X have a binomial distribution B(n, p) such that the sum and the product of the mean… More Mathematics chapters Frequently asked questions How many Probability — Advanced questions are there for JEE Main? PrepWiser has 97 Probability — Advanced questions for JEE Main, grouped into 5 topics such as Conditional Probability, Independent Events and Bayes' Theorem.
Are these Probability — Advanced questions from previous-year JEE Main papers? Yes — most are genuine previous-year questions from past JEE Main papers, and the rest are practice questions written to match the JEE Main pattern and difficulty.
Where can I see the answers and solutions to these Probability — Advanced questions? Open any Probability — Advanced question in PrepWiser (it is free) to attempt it; most come with a step-by-step solution.