Board Thread:The Quarters - Q & A/@comment-128.127.45.192-20140501051054/@comment-24150802-20140501053718

Your chance of receiving a drop for the egg hunt (or for any other collection quest) depends on several factors, but your perception ("PER") is one of the main ones. If you can increase your perception (e.g., by changing the equipment you are using) then you'll have a higher chance of finding eggs. Other factors are listed here on the wiki (that page is specifically about non-quest drops, but, from memory, I think most of it is also relevant to collection quests; I'll check that later today and update this post if I'm wrong).

Quests are intended to be party activities so that you can gain additional motivation from working with your party members, so it is difficult for one person alone to make progress in any quest. I'm assuming (perhaps incorrectly!) from your post that you are doing this alone. If so, you might like to consider aborting your quest (the scroll will go back into your inventory so it won't be wasted) and joining someone else's party or finding people to join yours. You can then restart the quest and the rest of the party can join in.