“And when he returned to Capernaum after some days, it was reported that he was at home.” Mark 2:1
Mark expects the reader to know the house in question. How likely is it that it was his own house?
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We are not told the answer to this question so we do not know. The "home" in Mark 2:1 refers to Jesus' home town.
Note the helpful comments of Ellicott -
(1) And again he entered into Capernaum.—See Notes on Matthew 9:1-8. St. Mark alone names Capernaum, St. Matthew describing it as “His own city.” The house may have been Peter’s, as before in Mark 1:29.
The Expositor's Commentary is similar:
the house Either His own house, which He occupied with His mother and His brethren (Mark 3:21), or possibly that of St Peter.