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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

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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Q JEE MAIN 2021
Let $\mathrm{B}_i(\mathrm{i}=1,2,3)$ be three independent events in a sample space. The probability that only $\mathrm{B}_1$ occur is $\alpha$, only $\mathrm{B}_2$ occurs is $\beta$ and only...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let $A, B$ and $C$ be three events such that the probability that exactly one of $A$ and $B$ occurs is $(1-k)$, the probability that...
JEE Main Mathematics Hard
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Q JEE MAIN 2021
An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number 2 times is equal to the...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4, 5, 6 without repetitions, be divisible by 3. Then...
JEE Main Mathematics Medium
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Q _JEE MAIN_2021_
Two dices are rolled. If both dices have six faces numbered 1,2,3,5,7 and 11, then the probability that the sum of the numbers on the...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
The probability that two randomly selected subsets of the set {1, 2, 3, 4, 5} have exactly two elements in their intersection, is :
JEE Main Mathematics Easy
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