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QJEE 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 MainMathematicsMedium
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QJEE 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 MainMathematicsEasy
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QJEE-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 MainMathematicsEasy
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QJEE MAIN 2024
Let the sum of two positive integers be 24 . If the probability, that their product is not less than $\frac{3}{4}$ times their greatest positive...
JEE MainMathematicsMedium
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QJEE 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 MainMathematicsMedium
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QJEE 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 MainMathematicsEasy
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QJEE 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 MainMathematicsHard
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QJEE 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 MainMathematicsEasy
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QJEE 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 MainMathematicsMedium
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QJEE-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...
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