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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2024
A fair die is tossed repeatedly until a six is obtained. Let $X$ denote the number of tosses required and let $\mathrm{a}=\mathrm{P}(\mathrm{X}=3), \mathrm{b}=\mathrm{P}(\mathrm{X} \geq 3)$...
JEE Main Mathematics Hard
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Q JEE MAIN 2025
Bag 1 contains 4 white balls and 5 black balls, and Bag 2 contains $n$ white balls and 3 black balls. One ball is drawn...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $\mathrm{A}=\left[\mathrm{a}_{i j}\right]$ be a $2 \times 2$ matrix such that $\mathrm{a}_{i j} \in\{0,1\}$ for all $i$ and $j$. Let the random variable X denote...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
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...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
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...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
The probability, of forming a 12 persons committee from 4 engineers, 2 doctors and 10 professors containing at least 3 engineers and at least 1...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
All five letter words are made using all the letters A, B, C, D, E and arranged as in an English dictionary with serial numbers....
JEE Main Mathematics Hard
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Q JEE MAIN 2025
Three distinct numbers are selected randomly from the set $\{ 1,2,3, \ldots ,40\}$. If the probability, that the selected numbers are in an increasing G.P.,...
JEE Main Mathematics Hard
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Q JEE MAIN 2025
Let $\mathrm{A}=\left[a_{i j}\right]$ be a square matrix of order 2 with entries either 0 or 1 . Let E be the event that A is...
JEE Main Mathematics Easy
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