23 JEE Main 2025 Probability previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2025 previous-year questions from the Probability chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Probability chapter hub.
Bag 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 b…
If 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 12 x²-7 x+1=0, then…
A coin is tossed three times. Let X denote the number of times a tail follows a head. If µ and σ² denote the mean and v…
Three distinct numbers are selected randomly from the set \1,2,3, … …, 40\. If the probability, that the selected numbe…
Let S be the set of all the words that can be formed by arranging all the letters of the word GARDEN. From the set S, o…
If 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…
All five letter words are made using all the letters A, B, C, D, E and arranged as in an English dictionary with serial…
Two balls are selected at random one by one without replacement from a bag containing 4 white and 6 black balls. If the…
A box contains 10 pens of which 3 are defective. A sample of 2 pens is drawn at random and let X denote the number of d…
Let A= [ai j ] be a square matrix of order 2 with entries either 0 or 1 . Let E be the event that A is an invertible ma…
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