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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
Let the normal at the point P on the parabola $\mathrm{y}^2=6 \mathrm{x}$ pass through the point $(5,-8)$. If the tangent at P to the parabola...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
If a random variable $X$ follows the Binomial distribution $B(33, p)$ such that $3 P(X=0)=P(X=1)$, then the value of $\frac{P(X=15)}{P(X=18)}-\frac{P(X=16)}{P(X=17)}$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $E_1$ and $E_2$ be two events such that the conditional probabilities $P\left(E_1 \mid E_2\right)=\frac{1}{2}, P\left(E_2 \mid E_1\right)=\frac{3}{4}$ and $P\left(E_1 \cap E_2\right)=\frac{1}{8}$. Then :
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let $x^2+y^2+A x+B y+C=0$ be a circle passing through $(0,6)$ and touching the parabola $y=x^2$ at $(2,4)$. Then $\mathrm{A}+\mathrm{C}$ is equal to $\_\_\_\_$
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and $n$ white balls. One bag...
JEE Main Mathematics Hard
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Q JEE MAIN 2023
The ordinates of the points $P$ and $Q$ on the parabola with focus $(3,0)$ and directrix $x=-3$ are in the ratio $3: 1$. If $...
JEE Main Mathematics Hard
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Q JEE MAIN
Let $m$ and $n$ be the numbers of real roots of the quadratic equations $x^2-12 x+[x]+31=0$ and $x^2-5 \mid x+ 2 \mid-4=0$ respectively, where $[x]$...
JEE Main Mathematics Medium
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Q JEE-Main 2023
Let $\mathrm{A}(0,1), \mathrm{B}(1,1)$ and $\mathrm{C}(1,0)$ be the mid - points of the sides of a triangle with in Centre at the point D . If...
JEE Main Mathematics Hard
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Q JEE-Main 2023
If the probability that the random variable $X$ takes values $x$ is given by $P(X=x)=k(x+1) 3^{-x}, x=0,1$, $2,3 \ldots \ldots$, where $k$ is a constant,...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
The random valuable X follows binomial distribution B(n, p) for which the difference of the mean and the variance is 1. If 2P(X = 2)...
JEE Main Mathematics Medium
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