1
WB JEE 2022
MCQ (Single Correct Answer)
+1
-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

A
[0, 1]
B
$$\left[ {{1 \over 3},{1 \over 2}} \right]$$
C
$$\left[ {{1 \over 3},{2 \over 3}} \right]$$
D
$$\left[ {{1 \over 3},{{13} \over 3}} \right]$$
2
WB JEE 2022
MCQ (Single Correct Answer)
+1
-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

A
$${3 \over {16}}$$
B
$${3 \over 8}$$
C
$${1 \over 4}$$
D
$${5 \over 8}$$
3
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Four persons A, B, C and D throw and unbiased die, turn by turn, in succession till one gets an even number and win the game. What is the probability that A wins the game if A begins?
A
$${1 \over 4}$$
B
$${1 \over 2}$$
C
$${7 \over 15}$$
D
$${8 \over 15}$$
4
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Four persons A, B, C and D throw an unbiased die, turn by turn, in succession till one gets an even number and win the game. What is the probability that A wins if A begins?
A
$${1 \over 4}$$
B
$${1 \over 2}$$
C
$${7 \over 12}$$
D
$${8 \over 15}$$
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