1
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
$${{271} \over {{{10}^4}}}$$
2
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
$${1 \over {20}}$$
3
JEE Main 2022 (Online) 28th June Morning Shift
MCQ (Single Correct Answer)
+4
-1

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
$${{23} \over {36}}$$
4
JEE Main 2022 (Online) 27th June Evening Shift
MCQ (Single Correct Answer)
+4
-1

If a point A(x, y) lies in the region bounded by the y-axis, straight lines 2y + x = 6 and 5x $$-$$ 6y = 30, then the probability that y < 1 is :

A
$${1 \over 6}$$
B
$${5 \over 6}$$
C
$${2 \over 3}$$
D
$${6 \over 7}$$
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