Final answer:
The inverse of the conditional statement is "If I do not play the game, then it is not sunny outside," which negates and reverses the original statement's hypothesis and conclusion.
Step-by-step explanation:
The correct answer is B. "If it is not sunny outside, then I do not play the game."
Here's why:
The original statement says: "If it is sunny outside, then I do play the game." This means that being sunny is a sufficient condition for me to play the game. If it's sunny, I definitely play.
The inverse of a statement reverses the implication.
Therefore, the inverse of the original statement should say that not being sunny is a necessary condition for me not to play the game. If it's not sunny, I definitely don't play.
Option A ("If I do not play the game, then it is not sunny outside.") is not quite the inverse. It is the contrapositive, which is logically equivalent to the inverse, but not the same statement.
Option B ("If it is not sunny outside, then I do not play the game.") accurately captures the implication that "not sunny" is a necessary condition for "not playing."
Therefore, B is the correct answer as it represents the inverse of the original statement.