Final answer:
The converse of the statement 'If a mouse is brown, then it likes to eat cheese' is 'If a mouse is brown, then it does not like to eat cheese.'
Step-by-step explanation:
The converse of the statement 'If a mouse is brown, then it likes to eat cheese' is option D: If a mouse is brown, then it does not like to eat cheese.
In the original statement, the mouse being brown is the condition (hypothesis) and liking to eat cheese is the result (conclusion). In the converse, the condition and the result are reversed.
For example, if we have a mouse that is brown, it doesn't necessarily mean that it likes to eat cheese. It may have other preferences or may not like cheese at all.