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Probability

JEE Advanced · Mathematics · 58 past questions

17 of 58 · show all

Q8 2023 Paper 1

Let $X=\left\{(x,y)\in\mathbb{Z}\times\mathbb{Z}:\frac{x^2}{8}+\frac{y^2}{20}<1\text{ and }y^2<5x\right\}$.…
Q10 2023 Paper 2

Let $X$ be the set of all five digit numbers formed using 1,2,2,2,4,4,0. For example, 22240 is in $X$ while…
Q15 2021 Paper 1

Three numbers are chosen at random, one after another with replacement, from the set…
Q16 2021 Paper 1

Three numbers are chosen at random, one after another with replacement, from the set…
Q23 2019 Paper 1

Let $S$ be the sample space of all $3 \times 3$ matrices with entries from the set $\{0,1\}$. Let the events…
Q25 2018 Paper 1

PARAGRAPH “A”…
Q26 2018 Paper 1

PARAGRAPH “A”…
Q28 2017 Paper 2

Three randomly chosen nonnegative integers $x,y$ and $z$ are found to satisfy the equation $x+y+z=10$. Then…
Q35 2014 Paper 2

Six cards and six envelopes are numbered $1,2,3,4,5,6$ and cards are to be placed in envelopes so that each…
Q36 2014 Paper 2

Three boys and two girls stand in a queue. The probability, that the number of boys ahead of every girl is at…
Q37 2014 Paper 2

Paragraph For Questions 55 and 56…
Q38 2014 Paper 2

Paragraph For Questions 55 and 56…
Q41 2013 Paper 2

Paragraph for Questions 51 and 52…
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…
Q49 2010 Paper 1

Let $\omega$ be a complex cube root of unity with $\omega\neq1$. A fair die is thrown three times. If $r_1$…
Q54 2008 Paper 1

Consider the system of equations $ax + by = 0$, $cx + dy = 0$, where $a, b, c, d \in \{0, 1\}$.…
Q56 2007 Paper 1

One Indian and four American men and their wives are to be seated randomly around a circular table. Then the…