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1
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1
English
Hindi

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
$${13 \over {16}}$$
2
JEE Main 2022 (Online) 29th June Morning Shift
+4
-1
English
Hindi

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
$${{271} \over {{{10}^4}}}$$
3
JEE Main 2022 (Online) 28th June Evening Shift
+4
-1
English
Hindi

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
$${1 \over {20}}$$
4
JEE Main 2022 (Online) 28th June Morning Shift
+4
-1
English
Hindi

The probability, that in a randomly selected 3-digit number at least two digits are odd, is

A
$${{19} \over {36}}$$
B
$${{15} \over {36}}$$
C
$${{13} \over {36}}$$
D
$${{23} \over {36}}$$
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