1

JEE Main 2021 (Online) 17th March Morning Shift

Numerical

+4

-1

Let there be three independent events E

($$\alpha$$ $$-$$ 2$$\beta$$)p = $$\alpha$$$$\beta$$ and ($$\beta$$ $$-$$ 3$$\gamma$$)p = 2$$\beta$$$$\gamma$$. All the given probabilities are assumed to lie in the interval (0, 1).

Then, $$\frac{Probability\ of\ occurrence\ of\ E_{1}}{Probability\ of\ occurrence\ of\ E_{3}} $$ is equal to _____________.

_{1}, E_{2}and E_{3}. The probability that only E_{1}occurs is $$\alpha$$, only E_{2}occurs is $$\beta$$ and only E_{3}occurs is $$\gamma$$. Let 'p' denote the probability of none of events occurs that satisfies the equations($$\alpha$$ $$-$$ 2$$\beta$$)p = $$\alpha$$$$\beta$$ and ($$\beta$$ $$-$$ 3$$\gamma$$)p = 2$$\beta$$$$\gamma$$. All the given probabilities are assumed to lie in the interval (0, 1).

Then, $$\frac{Probability\ of\ occurrence\ of\ E_{1}}{Probability\ of\ occurrence\ of\ E_{3}} $$ is equal to _____________.

Your input ____

2

JEE Main 2021 (Online) 24th February Morning Slot

Numerical

+4

-1

English

Hindi

Let B

Then $${{P\left( {{B_1}} \right)} \over {P\left( {{B_3}} \right)}}$$ is equal to ________.

_{i}(i = 1, 2, 3) be three independent events in a sample space. The probability that only B_{1}occur is $$\alpha $$, only B_{2}occurs is $$\beta $$ and only B_{3}occurs is $$\gamma $$. Let p be the probability that none of the events B_{i}occurs and these 4 probabilities satisfy the equations $$\left( {\alpha - 2\beta } \right)p = \alpha \beta $$ and $$\left( {\beta - 3\gamma } \right)p = 2\beta \gamma $$ (All the probabilities are assumed to lie in the interval (0, 1)).Then $${{P\left( {{B_1}} \right)} \over {P\left( {{B_3}} \right)}}$$ is equal to ________.

Your input ____

3

JEE Main 2020 (Online) 5th September Evening Slot

Numerical

+4

-0

In a bombing attack, there is 50% chance that
a bomb will hit the target. Atleast two
independent hits are required to destroy the
target completely. Then the minimum number
of bombs, that must be dropped to ensure that
there is at least 99% chance of completely
destroying the target, is ______.

Your input ____

4

JEE Main 2020 (Online) 4th September Morning Slot

Numerical

+4

-0

The probability of a man hitting a target is $${1 \over {10}}$$. The least number of shots required, so that the
probability of his hitting the target at least once is greater than $${1 \over {4}}$$, is _____.

Your input ____

Questions Asked from Probability (Numerical)

Number in Brackets after Paper Indicates No. of Questions

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