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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE ADVANCED 2025
Three students $S_1, S_2$, and $S_3$ are given a problem to solve. Consider the following events: $U:$ At least one of $S_1, S_2$, and $S_3$...
JEE Advance Mathematics Easy
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Q JEE MAIN 2019
A person throws two fair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins Rs. 12 when the...
JEE Main Mathematics Medium
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Q JEE Main 2020
Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random...
JEE Main Mathematics Medium
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Q JEE-MAIN 2019
In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
For an initial screening of an admission test, a candidate is given fifty problems to solve. If the probability that the candidate can solve any...
JEE Main Mathematics Hard
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Q JEE MAIN 2020
Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five,...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
Out of 11 consecutive natural numbers if three numbers are selected at random (without repetition), then the probability that they are in A.P. with positive...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The probabilities of three events $\mathrm{A}, \mathrm{B}$ and C are given by $\mathrm{P}(\mathrm{A})=0.6, \mathrm{P}(\mathrm{B})=0.4$ and $\mathrm{P}(\mathrm{C})=0.5$. If $...
JEE Main Mathematics Hard
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Q JEE MAIN 2019
An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then...
JEE Main Mathematics Easy
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