A <em>semicolon </em>is most commonly used to link (in a single sentence) two independent clauses that are closely related in thought. Use a semicolon between two independent clauses that are connected by conjunctive adverbs or transitional phrases.
Troy believes the lottery to be foolish because there is such a slim chance of winning that there is no point in it. This shows he is a cautious person and isn't gullible.