Consider a system of equations $ax + by = 0$ and $cx + dy = 0$,where $a, b, c, d \in \{0, 1\}$.
Statement $-1$: The probability that the system of equations has a solution is $1$.
Statement $-2$: The probability that the system of equations has a unique solution is $\frac{3}{8}$.

  • A
    Statement $-1$ is true,Statement $-2$ is true,but Statement $-1$ is not the correct explanation for Statement $-2$.
  • B
    Statement $-1$ is true,Statement $-2$ is false.
  • C
    Statement $-1$ is false,Statement $-2$ is true.
  • D
    Both statements are true,and Statement $-1$ is the correct explanation of Statement $-2$.

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