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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

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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Q JEE MAIN_2025
A bag contains 19 unbiased coins and one coin with head on both sides. One coin drawn at random is tossed and head turns up....
JEE Main Physics Easy
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Q JEE MAIN_2025
Let a random variable $X$ take values $0,1,2,3$ with $P(X=0)=P(X=1)=p, P(X=2)=P(X=3)$ and $E\left(X^2\right)=2 E(X)$. Then the value of $8 p-1$ is:
JEE Main Physics Medium
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Q JEE MAIN 2023
Three dice are rolled. If the probability of getting different numbers on the three dice is , where p and q are co-prime, then q...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If $A$ and $B$ are two events such that $P(A)=0.7, P(B)=0.4$ and $P(A \cap \bar{B})=0.5$, where $\bar{B}$ denotes the complement of $B$, then $...
JEE Main Mathematics Medium
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