We believe in biblical inerrancy, Holy Scripture is the Word of God, and carries the full authority of God. That's a given for this discussion.
Now, if you found out definitively ( Like Jesus came and told you himself) that the story of creation with Adam and Eve is a myth and that Noah's Ark was a myth based on fact, would you still believe in biblical inerrancy?
For me the answer is yes, but what is it for you?