The correct answer is option 3: High Courts. The power to decide an Election Petition for the State is vested in the High Courts. Each state in India has its own High Court, which is the highest judicial authority in the state. The High Courts have the jurisdiction to hear and decide various types of cases, including Election Petitions. An Election Petition is a legal petition that challenges the outcome of an election in which the petitioner alleges electoral malpractices, illegal practices, or corrupt practices. The High Courts have the authority to adjudicate on Election Petitions and pass appropriate orders, including setting aside an election and ordering a fresh election if the petition is found to be valid.