WB JEE 2026 | Probability Question 14 | Mathematics

WB JEE 2026

MCQ (More than One Correct Answer)

-0

If $A_1, A_2, A_3, \ldots, A_{1006}$ be independent events such that $P\left(A_l\right)=\frac{1}{2 i},(i=1,2, \ldots, 1006)$ and the probability that none of the events occurs be $\frac{\alpha!}{2^a(\beta!)^2}$ ，then

$\beta$ is of the form $4 k+2, k \in I$

$\alpha=2 \beta$

$\beta$ is of the form $4 k+1, k \in I$

$\beta$ is a prime number

WB JEE 2025

MCQ (More than One Correct Answer)

-0

Three numbers are chosen at random without replacement from $\{1,2, \ldots 10\}$. The probability that the minimum of the chosen numbers is 3 or their maximum is 7 , is

$\frac{5}{40}$

$\frac{3}{40}$

$\frac{11}{40}$

$\frac{9}{40}$

WB JEE 2020

MCQ (More than One Correct Answer)

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A and B are independent events. The probability that both A and B occur is $${1 \over {20}}$$ and the probability that neither of them occurs is $${3 \over {5}}$$. The probability of occurrence of A is

$${1 \over {2}}$$

$${1 \over {10}}$$

$${1 \over {4}}$$

$${1 \over {5}}$$

WB JEE 2016

MCQ (More than One Correct Answer)

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If A, B are two events such that P(A $$\cup$$ B) $$ \ge $$ $${3 \over 4}$$ and $${1 \over 8}$$ $$ \le $$ P (A $$\cap$$ B) $$ \le $$ $${3 \over 8}$$, then

P(A) + P(B) $$ \le $$ $${11 \over 8}$$

P(A) . P(B) $$ \le $$ $${3 \over 8}$$

P(A) + P(B) $$ \ge $$ $${7 \over 8}$$

None of the above

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