To draw lots means to pick something random, or in the Jewish bible, Haman and his wife chose a month and say to hang the Jews in the gallows.
Sorry, I meant "day" not "say".
It means to fight a battle, whether mentally, physically or a game such as chess, checkers or football, to the point of where a tie, stalemate or decision to whom is the winner can be reached thus...
In this context it would mean basically 'literally nill' or close to nil'. So nil = zero or nothing Virtual = Close to or literally = Close to nothing. Or basically nothing.