Answer:
If a mouse does not like to eat cheese, then it is not brown.
Explanation:
The converse of a conditional statement "If P, then Q" switches the positions of the hypothesis (P) and the conclusion (Q). In this case:
Original statement: "If a mouse is brown, then it likes to eat cheese."
Converse: "If a mouse likes to eat cheese, then it is brown."
However, it's important to note that the converse is not always logically equivalent to the original statement. The original statement implies that being brown is a condition for liking cheese, but the converse only states that liking cheese is a condition for being brown.
Now, let's consider the contrapositive, which involves negating both the hypothesis and the conclusion:
"If a mouse does not like to eat cheese, then it is not brown."