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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

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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Q JEE MAIN 2021
A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing card...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
A fair coin is tossed a fixed number of times. If the probability of getting 7 heads is equal to probability of getting 9 heads,...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
The coefficients $a, b$ and $c$ of the quadratic equation, $a x^2+b x+c=0$ are obtained by throwing a dice three times. The probability that this...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
When a missile is fired from a ship, the probability that it is intercepted is $\frac{1}{3}$ and the probability that the missile hits the target,...
JEE Main Mathematics Easy
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