How does one check if a table exists in an Android SQLite database?

Try this one:

public boolean isTableExists(String tableName, boolean openDb) {
    if(openDb) {
        if(mDatabase == null || !mDatabase.isOpen()) {
            mDatabase = getReadableDatabase();
        }

        if(!mDatabase.isReadOnly()) {
            mDatabase.close();
            mDatabase = getReadableDatabase();
        }
    }

    String query = "select DISTINCT tbl_name from sqlite_master where tbl_name=""+tableName+""";
    try (Cursor cursor = mDatabase.rawQuery(query, null)) {
        if(cursor!=null) {
            if(cursor.getCount()>0) {
                return true;
            }
        }
        return false;
    }
}