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. 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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3. Q15 2021 Paper 1

   Three numbers are chosen at random, one after another with replacement, from the set…

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4. Q16 2021 Paper 1

   Three numbers are chosen at random, one after another with replacement, from the set…

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5. Q18 2021 Paper 2

   A number is chosen at random from the set $\{1, 2, 3, \ldots, 2000\}$. Let $p$ be the probability that the…

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6. Q27 2017 Paper 1

   Let $X$ and $Y$ be two events such that $P(X)=\frac13$, $P(X|Y)=\frac12$ and $P(Y|X)=\frac25$. Then

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7. Q39 2013 Paper 1

   Four persons independently solve a certain problem correctly with probabilities…

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8. Q41 2013 Paper 2

   Paragraph for Questions 51 and 52…

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9. Q44 2012 Paper 2

   Four fair dice $D_1, D_2, D_3$ and $D_4$, each having six faces numbered 1, 2, 3, 4, 5 and 6, are rolled…

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10. Q51 2009 Paper 1

    Paragraph for Question Nos. 36 to 38…

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11. Q52 2009 Paper 1

    Paragraph for Question Nos. 36 to 38…

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12. Q54 2008 Paper 1

    Consider the system of equations $ax + by = 0$, $cx + dy = 0$, where $a, b, c, d \in \{0, 1\}$.…

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13. Q55 2008 Paper 2

    An experiment has 10 equally likely outcomes. Let $A$ and $B$ be two non-empty events of the experiment. If…

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14. 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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