Question 1

Explanation

We can dissect this logic using the principle of implication. Let Likes Basketball be $P$ and Likes Mathematics be $Q$. The statement "everyone who likes basketball definitely likes mathematics" can be written as $P \rightarrow Q$.

Andi is known to like mathematics ($Q$). In mathematical logic, if the consequent ($Q$) occurs, we cannot guarantee that the antecedent ($P$) is the cause. Andi might like mathematics for other reasons, not necessarily because he likes basketball.

However, there is no information prohibiting Andi from liking basketball. Therefore, the conclusion that "Andi likes basketball" has a chance of being true, but it cannot be confirmed with $100\%$ certainty. Thus, the quality of the conclusion is possibly true.