Question

Are these statements logically equivalent?
Statement 1: If it does not rain, I will play cricket.
Statement 2: I will not play cricket if it rains.

• A. Yes
• B. No

Answer 1

The correct option is B No

Statement 1 says that if it doesn't rain I will play, the person doesn't speak about what he will do if it does rain. So if it rains he might still play cricket. Hence both these statements are not equivalent .
An equivalent statement would be "If I didn't play implies it rained."