Intermediate
Discrete Mathematics & Math
Q72 / 100
In propositional logic, what is the contrapositive of "If it rains, then the ground is wet"?
Correct! Well done.
Incorrect.
The correct answer is B) If the ground is not wet, then it does not rain
B
Correct Answer
If the ground is not wet, then it does not rain
Explanation
The contrapositive of p → q is ¬q → ¬p, which is logically equivalent to the original statement. "If the ground is not wet, then it does not rain" preserves the same truth value as "If it rains, the ground is wet," unlike the converse (option a) or inverse (option c).
Progress
72/100