Solutions

$\mathbf{A}$ is not correct but $\mathbf{R}$ is correct

Both $\mathbf{A}$ and $\mathbf{R}$ are correct and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$

Both $\mathbf{A}$ and $\mathbf{R}$ are correct but $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$

$\mathbf{A}$ is correct but $\mathbf{R}$ is not correct