Consider the system of equations $a x + b y = 0 , c x + d y = 0$, where $a , b , c , d \in \{ 0,1 \}$. STATEMENT-1 : The probability that the system of equations has a unique solution is $\frac { 3 } { 8 }$. and STATEMENT-2 : The probability that the system of equations has a solution is 1. (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1 (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1 (C) STATEMENT-1 is True, STATEMENT-2 is False (D) STATEMENT-1 is False, STATEMENT-2 is True
Consider the system of equations\\
$a x + b y = 0 , c x + d y = 0$, where $a , b , c , d \in \{ 0,1 \}$.\\
STATEMENT-1 : The probability that the system of equations has a unique solution is $\frac { 3 } { 8 }$.\\
and\\
STATEMENT-2 : The probability that the system of equations has a solution is 1.\\
(A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1\\
(B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1\\
(C) STATEMENT-1 is True, STATEMENT-2 is False\\
(D) STATEMENT-1 is False, STATEMENT-2 is True