How are they managing the behavior at the daycare setting? Hopefully they are supervising her closely in order to prevent likely episodes. When she does engage in any aggressive behavior, including biting, it's important to remove her from proximity to the other children and place her in a time out arrangement for a few minutes. After the time out she could return to play, but initially by herself. If that phase proceeds well, she should be permitted to play with only one other child at a time for the
duration of that day. At home, you can intervent by employing time out as well. Removal of privileges is generally not a very useful management tactic for such a young child.
When there is one adult to a room full of toddlers, you cant have an eye on each one at all times. But by asking her teacher to watch whats going on around her more closely you may find a pattern to it. Finding the trigger is almost the only way to curve the behavior. Without knowing why she is doing it, ( which she herself may not know) how can you expect her to stop?