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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2019
Let S = {1, 2, ...., 20}. A subset B of S is said to be “nice”, if the sum of the elements of B...
JEE Main Mathematics Easy
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Q JEE-MAIN 2020
The probability that a randomly chosen 5-digit number is made from exactly two digits is :
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Let A and B be two events such that the probability that exactly one of them occurs is $\frac{2}{5}$ and the probability that $A$ or...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
An electric instrument consists of two units. Each unit must function independently for the instrument to operate. The probability that the first unit functions is...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value k when k consecutive heads are obtained for k...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
If the probability of hitting a target by a shooter, in any shot, is $\frac{1}{3}$, then the minimum number of independent shots at the target...
JEE Main Mathematics Easy
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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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