The same chord progression all the way through as far as I can tell. 
( G5 - B5 - A5 - C5 ) 
The Chorus is the same starting on the 
C5 
(play along with the CD and you'll see what I mean) 
N.B.  You can use B5 instead of B5 , it sounds good too. 
 
Intro 
 
( G5 - B5 - A5 - C5 ) Twice 
 

Verse 
G5                B5 
how many cabs in new york city, 
A5           C5 
how many angels on a pin 
G5                B5 
how many notes on a saxaphone, 
A5            C5 
how many tears in a bottle of gin 
G5                B5 
how many times did you call my name 
A5               C5 
knock at the door but you couldn't get in 
 

G5 , B5 , A5 ,   C5 ,   G5 ,  B5 ,         A5 
              I know,  I've been,  Careless 
 
I've been wrapped up in a shell 
nothing could get through to me 
Acted like I didn't know, 
I had friends and good family 
I saw worry in your eyes, 
It didn't look like fear to me 
 
I know, I've been, careless 
I lost, my tenderness 
I've been, careless, 
I took, bad care of this 
 
etc. etc.