Probability

JEE Advanced · Mathematics · 58 past questions

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1. Q1 2026 Paper 1

   Suppose that Box I contains 6 red balls and 9 green balls, and Box II contains 8 red balls and 12 green…

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2. Q4 2025 Paper 2

   A factory has a total of three manufacturing units, $M_1$, $M_2$, and $M_3$, which produce bulbs independent…

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3. Q5 2024 Paper 1

   A student appears for a quiz consisting of only true-false type questions and answers all the questions. The…

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4. Q7 2024 Paper 2

   A bag contains $N$ balls out of which 3 balls are white, 6 balls are green, and the remaining balls are blue.…

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5. Q13 2022 Paper 2

   Suppose that…

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6. Q14 2021 Paper 1

   Consider three sets $E_1 = \{1,2,3\}$, $F_1 = \{1,3,4\}$ and $G_1 = \{2,3,4,5\}$. Two elements are chosen at…

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7. Q22 2019 Paper 1

   There are three bags $B_1, B_2$ and $B_3$. The bag $B_1$ contains 5 red and 5 green balls, $B_2$ contains 3…

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8. Q29 2016 Paper 1

   A computer producing factory has only two plants $T_1$ and $T_2$. Plant $T_1$ produces 20% and plant $T_2$…

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9. Q33 2015 Paper 2

   PARAGRAPH 1…

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10. Q34 2015 Paper 2

    PARAGRAPH 1…

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11. Q42 2013 Paper 2

    Paragraph for Questions 51 and 52…

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12. Q45 2012 Paper 2

    Let $X$ and $Y$ be two events such that $P(X\mid Y)=\frac12$, $P(Y\mid X)=\frac13$ and $P(X\cap Y)=\frac16$.…

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13. Q46 2011 Paper 1

    Paragraph for Question Nos. 61 and 62…

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14. Q47 2011 Paper 1

    Paragraph for Question Nos. 61 and 62…

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15. Q50 2010 Paper 2

    A signal which can be green or red with probability $\frac{4}{5}$ and $\frac{1}{5}$ respectively, is received…

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16. Q57 2007 Paper 1

    Let $H_1, H_2, \ldots, H_n$ be mutually exclusive and exhaustive events with $P(H_i) > 0$…

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