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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN_2022
Let $E_1, E_2, E_3$ be three mutually exclusive events such that $P\left(E_1\right)=\frac{2+3 p}{6}, P\left(E_2\right)=\frac{2-p}{8}$ and $P\left(E_3\right)=\frac{1-p}{2}$. If the maximum and minimum values of $p$ are...
JEE Main Mathematics Medium
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Q JEE MAIN_2022
The mean and variance of a binomial distribution are $\alpha$ and $\frac{\alpha}{3}$ respectively. If $P(X=1)=\frac{4}{243}$, then $P(X=4$ or 5) is equal to i
JEE Main Mathematics Medium
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Q JEE MAIN 2022
If the numbers appeared on the two throws of a fair six faced die are $a$ and $b$, then the probability that $x^2+\alpha x+ \beta>0$,...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
If the sum and the product of mean and variance of a binomial distribution are 24 and 128 respectively, then the probability of one or...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $S=\left\{E, E_2 \ldots E_8\right\}$ be a sample space of random experiment such that $P\left(E_n\right)=\frac{n}{36}$ for every $n=1,2 \ldots \ldots 8$. Then the number of...
JEE Main Mathematics Hard
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Q JEE MAIN 2022
If a point $A(x, y)$ lies in the region bounded by the $y$-axis, straight lines $2 y+x=6$ and $5 x-6 y=30$, then the probability that...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8 only is a multiple of 21 is p, then...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
In an examination, there are 10 true-false type questions. Out of 10, a student can guess the answer of 4 questions correctly with probability $\frac{3}{4}$...
JEE Main Mathematics Hard
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Q JEE MAIN 2022
The probability that a relation R from {x, y} to {x, y} is both symmetric and transitive, is equal to:
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The probability that a randomly chosen one-one function from the set {a, b, c, d} to the set {1, 2, 3, 4, 5} satisfies f(a)...
JEE Main Mathematics Medium
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