JEE MATHEMATICS MCQ: PROBABILITY

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Consider the system of equations

\mathrm{px}+\mathrm{qy}=0, \mathrm{rx}+\mathrm{sy}=0

where

p, q, r, s \in\{-1,1\}

Statement-1: The probability that the system of equation has a unique solution is

\frac{1}{2}

.
Statement-2: The probability that the system of equations no solution is zero.

View answer and explanation

Correct option: B

Statement-1 is true, statement-2 is true and ststement-2 is NOT the correct explanation for statement-1

Statement-1 is true because the probability of a unique solution is 1/2, and Statement-2 is true because the probability of no solution is zero, as the system is homogeneous. Statement-2 is NOT the correct explanation for Statement-1.

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