1) Go to the "Lists" menu, head to the list you want to run your contest on and click "Contacts".
2) A page will be shown with all contacts in that list. Click "Actions for the whole list" on the lower left corner of the page and hit "Draw winners" in the window that just came up.
3) Enter the number of winners E-goi will pick randomly out of your list total and choose or create the tag (eg. "sweepstakes winners") they'll be marked with. Then just click "Draw".
Done, it's that easy! E-goi will quickly draw your winners at random and tag them. To view them, simply segment your list using the tag you created. Then set up an email or SMS with your give-away gift (say, a discount offer, an ebook, etc.) and send out your campaign to the segment containing those tagged contacts.