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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE Main 2021
Let $S=\{1,2,3,4,5,6\}$. Then the probability that a randomly chosen onto function $g$ from $S$ to $S$ satisfies $g(3) =2 g(1)$ is :
JEE Main Mathematics Medium
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Q JEE MAIN 2021
When a certain biased die is rolled, a particular face occurs with probability $\frac{1}{6}-x$ and its opposite face occurs with probability $\frac{1}{6}+x$. All other faces...
JEE Main Mathematics Medium
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Q JEE MAIN_2021_
The probability distribution of random variable X is given by: Let $p=P(1
JEE Main Mathematics Easy
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Q JEE Main 2021
Let $A$ and $B$ be independent events such that $P(A)=p, P(B)=2 p$. The largest value of $p$, for which $P$ (exactly one of $A, B$...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Let $A$ and $B$ be two non-null events such that $A \subset$ B. Then, which of the following statements is always correct?
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Two fair dice are thrown. The numbers on them are taken as l and m, and a system of linear equations
$...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
A fair die is tossed until six is obtained on it. Let $X$ be the number of required tosses, then the conditional probability $...
JEE Main Mathematics Medium
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Q JEE Main 2019
Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Let X denote the random variable of number of aces obtained...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let X be a random variable with distribution.

If the mean of $X$ is 2.3...
JEE Main Mathematics Hard
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Q JEE MAIN 2021
Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is :
JEE Main Mathematics Medium
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