Given below are two statements and two conclusions.
$\text { Statement 1: All purple are green.}$
$\text { Statement 2: All black are green.}$
$\text { Conclusion I: Some black are purple.}$
$\text { Conclusion II: No black is purple.}$
Based on the above statements and conclusions, which one of the following options is logically CORRECT?
- Only conclusion I is correct.
- Only conclusion II is correct.
- Either conclusion I or II is correct.
- Both conclusion I and II are correct.