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JEE Main 2023 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 11 April 2023, Shift 1, Maths Q17

Question 17 of 90 in this shift, Maths question 17 of 30, Section A.

Let

S = \{M = [a_{ij}],\ a_{ij} \in \{0, 1, 2\},\ 1 \le i, j \le 2\}

be a sample space and

A = \{M \in S : M \text{ is invertible}\}

be an event. Then

P(A)

is equal to

(1) $\frac{47}{81}$
(2) $\frac{16}{27}$
(3) $\frac{49}{81}$
(4) $\frac{50}{81}$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Probability
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.