I was looking on Ebay at Figs of course and stumbled across theses freshly rooted " bare root " cuttings I see it is a 6 day auction I was wondering what there chance of surviving is???

Wow, that's got to be a shock on such a young "tree."  I don't think it will do well if in shipping for any more than a day or 2, and even then if it gets frozen or overheated along the way its gone.

I have bare root cutting sent to me that were in transit almost a month...they are doing great, mine did have more roots and were almost in a dormant state with no leaves...

My long time experience has been to NOT disturb (them very fragile) young fig-cutting roots at all.
Some people had some better success than me?

I had a similar fig sent to me. 
It was smaller with less growth.  It lost its 2 leaves but now grew 2 new leaves and looks OK for now.

The fig would have a better chance of survival if shipped with the original moistened soil mix wrapped tight and in a sealed plastic bag. 

Might do OK, but I wonder why they didn't wait a little longer, maybe another month or two, for the roots to get stronger.