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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021
The probability that a randomly selected 2 -digit number belongs to the set $\left\{n \in N:\left(2^n-2\right)\right.$ is a multiple of 3$\}$ is equal to:
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let $x$ be a random variable such that the probability function of a distribution is given by $P(X=0)=\frac{1}{2}, P(X=j) =\frac{1}{3^j}(j=1,2,3, \ldots, \infty)$. Then the mean...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
The probability of selecting integers $a \in[-5,30]$ such that $x^2+2(a+4) x-5 a+64>0$, for all $x \in R$, is :
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Words with or without meaning are to be formed using all the letters of the word EXAMINATION. The probability that the letter M appears at...
JEE Main Mathematics Easy
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Q JEE MAIN_2021_
Four dice are thrown simultaneously and the numbers shown on these dice are recorded in 2 × 2 matrices. The probability that such formed matrices...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen element of...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Let in a Binomial distribution, consisting of 5 independent trials, probabilities of exactly 1 and 2 successes be 0.4096 and 0.2048 respectively. Then the probability...
JEE Main Mathematics Medium
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Q JEE-MAIN 2021
Let a computer program generate only the digits 0 and 1 to form a string of binary numbers with probability of occurrence of 0 at...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are non-smokers and vegetarian. Their...
JEE Main Mathematics Hard
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Q JEE MAIN_2021_
Let there be three independent events $\mathrm{E}_1, \mathrm{E}_2$ and $E_3$. The probability that only $E_1$ occurs is $\alpha$, only $E_2$ occurs is $\beta$ and only...
JEE Main Mathematics Hard
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