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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2024
The coefficients $a, b, c$ in the quadratic equation $a x^2+b x+c=0$ are chosen from the set $\{1,2,3,4,5,6,7,8\}$. The probability of this equation having repeated...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Three urns A, B and C contain 7 red, 5 black; 5 red, 7 black and 6 red, 6 black balls, respectively. One of the...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Three rotten apples are accidently mixed with fifteen good apples. Assuming the random variable x to be the number of rotten apples in a draw...
JEE Main Mathematics Hard
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Q JEE MAIN 2024
Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacement being made after...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Two integers x and y are chosen with replacement from the set {0,1,2,3, 10}. Then the probability that |x-y|>5 is
JEE Main Mathematics Medium
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Q JEE-Main 2024
A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at random without replacement and it was found that...
JEE Main Mathematics Medium
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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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