#In that case, they’ll likely be in Hufflepuff.
In that case, they’ll likely be in Hufflepuff.
It’s unlikely that too many students don’t fit into any Hogwarts house, since most students are likely to have or value certain traits enough to make them fit into one house better than the others, or to have a preference on which house they’ll be in. However, if they truly don’t fit into any house, or fit equally into all the houses and don’t have any preference, they’d likely then go into Hufflepuff. The houses are based on what the founders wanted in the students they teach, and Helga Hufflepuff was willing to teach all types of students.
“Said Hufflepuff, ‘I’ll teach the lot,
And treat them just the same.”
- Harry Potter and the Order of the Phoenix, Chapter 11 (The Sorting Hat’s New Song)
The Sorting Hat was intended to Sort the students into their houses in the same way the Founders did, and Helga Hufflepuff was willing to take the students none of the other founders chose. Because of that, it’s likely that the students who don’t fit anywhere would still go to Hufflepuff.
“Good Hufflepuff, she took the rest,
And taught them all she knew,
Thus the houses and their founders
Retained friendships firm and true.”
- Harry Potter and the Order of the Phoenix, Chapter 11 (The Sorting Hat’s New Song)
Therefore, it’s very likely that if any student doesn’t fit into any of the four houses, or they fit equally well into more than one house, they’d likely be just put into Hufflepuff as Helga Hufflepuff accepted any student.