1
JEE Main 2022 (Online) 30th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus

If a random variable X follows the Binomial distribution B(5, p) such that P(X = 0) = P(X = 1), then $${{P(X = 2)} \over {P(X = 3)}}$$ is equal to :

A
1
B
10
C
25
D
5
2
JEE Main 2022 (Online) 29th June Evening Shift
MCQ (Single Correct Answer)
+4
-1

The probability that a relation R from {x, y} to {x, y} is both symmetric and transitive, is equal to :

A
$${5 \over {16}}$$
B
$${9 \over {16}}$$
C
$${11 \over {16}}$$
D
$${13 \over {16}}$$
3
JEE Main 2022 (Online) 29th June Morning Shift
MCQ (Single Correct Answer)
+4
-1

The probability that a randomly chosen 2 $$\times$$ 2 matrix with all the entries from the set of first 10 primes, is singular, is equal to :

A
$${{133} \over {{{10}^4}}}$$
B
$${{18} \over {{{10}^3}}}$$
C
$${{19} \over {{{10}^3}}}$$
D
$${{271} \over {{{10}^4}}}$$
4
JEE Main 2022 (Online) 28th June Evening Shift
MCQ (Single Correct Answer)
+4
-1

The probability that a randomly chosen one-one function from the set {a, b, c, d} to the set {1, 2, 3, 4, 5} satisfies f(a) + 2f(b) $$-$$ f(c) = f(d) is :

A
$${1 \over {24}}$$
B
$${1 \over {40}}$$
C
$${1 \over {30}}$$
D
$${1 \over {20}}$$
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