This appears to be a truth table for a conditional statement. Let's break it down:
- P1 represents the first premise: "If it snows today."
- P2 represents the second premise: "You would stay at home."
- C represents the conclusion: "You are staying home."
Let's analyze the truth values:
- In the first row (T T), both premises are true, indicating that it indeed snowed today, and you stated that you would stay at home. The conclusion is true (T).
- In the second row (T F), the first premise is true (it snowed), but the second premise is false (you didn't stay at home). Therefore, the conclusion is false (F).
- In the third and fourth rows (F T and F F), the first premise is false (no snow), so the conclusion is false regardless of the second premise.
So, based on the given truth table, if it snows today, you are staying at home (True).