Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeometrical ProbabilityMedium2 minQB

MathematicsMediumsingle choice

A 2 × 2 matrix is chosen uniformly from matrices with entries 0 or 1 and non-negative determinant. Find the probability it is invertible.

Answer:

Solution:

Of 16 matrices, 3 have negative determinant, leaving 13. Exactly 3 of these are invertible, so the probability is $3/13$ .

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Geometrical Probability

⏱ 2mℹ️ Source: QB

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