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Probability

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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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Q JEE MAIN 2019
Two integers are selected at random from the set {1, 2, ..., 11}. Given that the sum of selected numbers is even, the conditional probability...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
In a box, there are 20 cards, out of which 10 are labelled as A and the remaining 10 are labelled as B. Cards are...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is more than 99% is...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
Let $A$ and $B$ be two independent events such that $P(A)=\frac{1}{3}$ and $P(B)=\frac{1}{6}$. Then, which of the following is TRUE ?
JEE Main Mathematics Easy
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Q JEE MAIN 2020
In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores...
JEE Main Mathematics Hard
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Q JEE Main 2019
An unbiased coin is tossed. If the outcome is a head, then a pair of unbiased dice is rolled and the sum of the numbers...
JEE Main Mathematics Medium
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