jee-main 2025 Q10

jee-main · India · session1_24jan_shift2 Probability Definitions Finite Equally-Likely Probability Computation

Let $A = \left[ a_{ij} \right]$ be a square matrix of order 2 with entries either 0 or 1. Let $E$ be the event that $A$ is an invertible matrix. Then the probability $\mathrm{P}(\mathrm{E})$ is:
(1) $\frac{3}{16}$
(2) $\frac{5}{8}$
(3) $\frac{3}{8}$
(4) $\frac{1}{8}$

Let $A = \left[ a_{ij} \right]$ be a square matrix of order 2 with entries either 0 or 1. Let $E$ be the event that $A$ is an invertible matrix. Then the probability $\mathrm{P}(\mathrm{E})$ is:\\
(1) $\frac{3}{16}$\\
(2) $\frac{5}{8}$\\
(3) $\frac{3}{8}$\\
(4) $\frac{1}{8}$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25