WB JEE 2023 | Probability Question 9 | Mathematics

WB JEE 2023

MCQ (Single Correct Answer)

-0.25

Let A and B are two independent events. The probability that both A and B happen is $${1 \over {12}}$$ and probability that neither A and B happen is $${1 \over 2}$$. Then

$$P(A) = {1 \over 3},P(B) = {1 \over 4}$$

$$P(A) = {1 \over 2},P(B) = {1 \over 6}$$

$$P(A) = {1 \over 6},P(B) = {1 \over 2}$$

$$P(A) = {2 \over 3},P(B) = {1 \over 8}$$

WB JEE 2023

MCQ (Single Correct Answer)

-0.25

Let S be the sample space of the random experiment of throwing simultaneously two unbiased dice and $$\mathrm{E_k=\{(a,b)\in S:ab=k\}}$$. If $$\mathrm{p_k=P(E_k)}$$, then the correct among the following is :

$$\mathrm{p_1 < p_{10} < p_4}$$

$$\mathrm{p_1 < p_{8} < p_{14}}$$

$$\mathrm{p_1 < p_{8} < p_{17}}$$

$$\mathrm{p_1 < p_{16} < p_5}$$

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

A, B, C are mutually exclusive events such that $$P(A) = {{3x + 1} \over 3}$$, $$P(B) = {{1 - x} \over 4}$$ and $$P(C) = {{1 - 2x} \over 2}$$. Then the set of possible values of x are in

[0, 1]

$$\left[ {{1 \over 3},{1 \over 2}} \right]$$

$$\left[ {{1 \over 3},{2 \over 3}} \right]$$

$$\left[ {{1 \over 3},{{13} \over 3}} \right]$$

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the determinant chosen is non-zero is

$${3 \over {16}}$$

$${3 \over 8}$$

$${1 \over 4}$$

$${5 \over 8}$$

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