Sharing the DataBase between Two Activities in Android

I have a DataBaseAdapter class, which basically creates the database, table and some methods to manipulate the data in it.

It looks like this-

import ...

public class DataBaseAdapter  {

    DataBaseForApp dataBaseForApp;
    //Constructor for DataBaseAdapter
    public DataBaseAdapter(Context context) {

    }
    //insert data
    public long insertData(String player_name,int enrollmentno)
    {
        SQLiteDatabase SQLiteDB=dataBaseForApp.getWritableDatabase();
        ContentValues contentValues=new ContentValues();
        contentValues.put(dataBaseForApp.NAME,player_name);
        contentValues.put(dataBaseForApp.ENROL,enrollmentno);
        long id=SQLiteDB.insert(dataBaseForApp.DATABASE_TABLE,null,contentValues);
        SQLiteDB.close();
        return id;
    }
    //search for a player name and the square grid size
    public boolean search(String player_name, int enrollmentno)
    {
        SQLiteDatabase SQLiteDB=dataBaseForApp.getWritableDatabase();
        String[] columns={dataBaseForApp.NAME,dataBaseForApp.ENROL};
        String[] arguments={player_name,Integer.toString(enrollmentno)};
        Cursor cursor=SQLiteDB.query(dataBaseForApp.DATABASE_TABLE,columns,null,null,null,null,null);
        while(cursor.moveToNext())
        {
            int index1=cursor.getColumnIndex(dataBaseForApp.NAME);
            int index2=cursor.getColumnIndex(dataBaseForApp.ENROL);
            String name=cursor.getString(index1);
            int gsize=cursor.getInt(index2);
            if(name.equals(player_name)&&gsize==enrollmentno)
            {
                return true;
            }
        }
        SQLiteDB.close();
        return false;

    }
    // main class
    static class DataBaseForApp extends SQLiteOpenHelper{
        private static final String DATABASE_NAME="SQLiteDB_FOR_APP";
        private static final String DATABASE_TABLE="INFO";
        private static final int DATABASE_VERSION=1;
        private static final String NAME="NAME";
        private static final String ENROL="ENROL";
        private static final String CREATE_TABLE="CREATE TABLE "+DATABASE_TABLE+"("+NAME+" VARCHAR(100), "+ENROL+" INT)";
        private static final String DROP_TABLE="DROP TABLE IF EXISTS "+DATABASE_TABLE;


        public DataBaseForApp(Context context) {
            super(context,DATABASE_NAME, null, DATABASE_VERSION);
        }

        @Override
        public void onCreate(SQLiteDatabase SQLiteDB) {
            try {
                SQLiteDB.execSQL(CREATE_TABLE);
            } catch (SQLException e) {
                e.printStackTrace();
            }

        }

        @Override
        public void onUpgrade(SQLiteDatabase SQLiteDB, int oldVersion, int newVersion) {
            try {
                SQLiteDB.execSQL(DROP_TABLE);
                onCreate(SQLiteDB);
            } catch (SQLException e) {
                e.printStackTrace();
            }
        }
    }

}

Then I did this in my First Activity-

DataBaseAdapter dataBaseAdapter=new DataBaseAdapter(ActivityOne.this);

After this, A database has been created and the methods in DataBaseAdapter are available to me for manipulation.

So far, It is cool, but problem arises when I want to get the same database for my second activity to insert the data from there.

If I use this-

 DataBaseAdapter dataBaseAdapter=new DataBaseAdapter(ActivityTwo.this);

then, it means I am trying to create the database once again.

Please suggest me how to share the database between two activities.

Thanks in Advance!