The last 2 days i had a problem in opening the hotmail and Microsoft live service website on FireFox. I thought it was temporary from the server itself.But then i found the hotmail working correctly on Chrome.And the more interesting thing , it works fine on Firefox on my laptop :D.
After some googling i found the problem was in the Add-on Adblock Plus. Its new update had conflicts with the hotmail.
Until the Adblock guys fix it, the solution to the problem is in disabling the add-on.
And now you can surf hotmail flawlessly.