I'm just speaking mathematically. You have two options, you don't know which one is correct, so you do both. Well if one is still correct and the other is incorrect then you're still wrong half of the time. If you choose to do only one of them then you have a 50% chance to either be right all of the time or wrong all of the time.
If you don't know which one is correct, and they both might be correct, then you might be right 100% of the time.
And if perchance the avidin does bind with the biotin half the time while eating the whole egg, because you are eating half as yolks only, you're not a complete failure- and in this case shouldn't suffer a biotin deficiency which makes this exercise a complete success.
This is still being hit on the head lessons in here.
Sincerely,
The Management