MacBook Pro - Only runs while MagSafe charger connected My 2013 MacBook Pro only runs while the MagSafe power charger is connected. 

Model Number: A1425 (EMC 2672)


When the charger is disconnected system immediately powers off (no
shutdown). 
MagSafe LED is always amber.


Is this a common problem? What is the most likely cause?
It sounds very much like the battery has died.

What does the battery meter say in the menu bar, if you click it? Usually if the battery has already breathed its last, it will say "service battery" or even "replace battery immediately".