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Probability

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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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Q JEE MAIN
Let a,b and c denote the outcome of three independent rolls of a fair tetrahedral die, whose four faces are marked 1,2,3,4. If the probability...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Three balls are drawn at random from a bag containing 5 blue and 4 yellow balls. Let the random variables X and Y respectively denote...
JEE Main Mathematics Easy
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Q JEE-Main 2024
A company has two plants A and B to manufacture motorcycles. 60% motorcycles are manufactured at plant A and the remaining are manufactured at plant...
JEE Main Mathematics Easy
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