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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
A card from a pack of 52 cards is lost. From the remaining 51 cards, n cards are drawn and are found to be spades....
JEE Main Mathematics Hard
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Q JEE MAIN 2025
Given three identical bags each containing 10 balls, whose colours are as follows :

A...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If the probability that the random variable $X$ takes the value $x$ is given by $P(X=x)=k(x+1) 3^{-x}, x=0,1,2,3 \ldots$, where $k$ is a constant, then...
JEE Main Mathematics Medium
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Q JEE-Main 2023
A pair of dice is thrown 5 times. For each throw, a total of 5 is considered a success. If the probability of at least...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
A fair n (n > 1) faces die is rolled repeatedly until a number less than n appears. If the mean of the number of...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Two dice A and B are rolled, Let the numbers obtained on A and B be $\alpha$ and $\beta$ respectively. If the variance of $\alpha-\beta$...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let ij $\mathrm{S}=\left\{\mathrm{M}=\left[a_{i j}\right], a_{i j} \in\{0,1,2\}, 1 \leq \mathrm{i}_k \mathrm{j} \leq 2\right\}$ be a sample space and $\mathrm{A}=\{\mathrm{M} \in \mathrm{S} ; \mathrm{M}$ is invertible...
JEE Main Mathematics Medium
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Q JEE-Main 2023
Let the tangent to the curve $x^2+2 x-4 y+9=0$ at the point P(1, 3) on it meet the y-axis at A. Let the line passing...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
In a bolt factory, machines A, B and C manufacture respectively 20%, 30% and 50% of the total bolts. of their output 3, 4 and...
JEE Main Mathematics Medium
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Q JEE-Main 2023
A pair of dice is thrown 5 times. For each throw, a total of 5 is considered a success. If the probability of at least...
JEE Main Mathematics Medium
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