When the draft is over, users will be sorted into their first week's Head-to-Head (H2H) matchup. During that process, a virtual 50-50 coin toss happens to decide who will get the coin for that week. In the event of a tie, whoever holds the coin will be decided the winner. This process is repeated for weeks 2, 3, and 4 if applicable.
You can see whoever has the coin on the Matchup page. In the top section, you will see the coin beside your opponent's or your Username.