1. Joe shoots Mr. Orange,
   2. Mr. White then shoots and kills Joe for shooting Mr. Orange,
   3. Eddie shoots Mr. White for shooting his father, and finally
   4. Mr. White shoots and kills Eddie while falling after being shot.

The bullet hitting Eddie is not seen, although Mr. White's gun points in his direction and fires a round; the mistake was acknowledged by director Tarantino as an error involving blood squibs that did not go off.

Actually, if you watch carefully during the movie when Joe's gun goes off first, you then see Mr. White's go off shooting Joe's, and Nice Guy Eddie shooting Mr. White while immediately flying back. If you slow it down or pause you can see it fairly clearly that nobody shot Nice Guy Eddie.