The scriptures are correct, know Jesus or not, the House I am in, they are saved.
There are several other verses in the new testament that also imply that If the head of, house is saved then his family is saved also. No mention of them having to except Christ personally.
It's one thing to ask Questions not knowing, it's a whole other thing to say any place in the Eternal Word of God contradicts. It's only Pride and Arrogance that would even state the Word of God would contradict
Acts 16:31, when Spiritually interpreted and applied, does not contradict any other verse, passage, scripture, or book of the Bible. No other book, scripture, passage, or verse contradicts Acts 16:31.