Earned Runs

Question
QUESTION: Inning transpires as follows:
Batter A reached on a drop 3rd strike. Batter B sac bunts; Batter A advanced to second. Batter C struck out swinging. Batter D singled; Batter A advanced to home; Batter E singled: Batter D advanced to second on the single. Batter F homered, 3 RBI; Batter G singled. Batter H struck out swinging.

I contend there are no earned runs in this inning.  The official scorer claims 4 earned runs in the inning. All 4 runs where scored after the first 3 batters were retired.

ANSWER: What is the reason for the dropped third strike, wild pitch or passed ball.

I know it seems like a silly question but it does make a difference and you can have a batter swing at a ball in the dirt (wild pitch) to trigger a dropped third strike.  Get me the answer to this question and I will let you know how I would score it.

Tom

---------- FOLLOW-UP ----------

QUESTION: The pitch was a change up that hit the dirt right in front of the plate. The catcher did not try to block the ball.

Answer
This is why I asked.  The dropped third strike was the result of a wild pitch.  One of the definitions of a wild pitch is any pitch that hits the ground prior to getting to the catcher.

The reason the the batter was not out was by fault of the pitcher, not the defense.  So you don't count that out for the pitcher.  For scoring the earned runs you really only have two outs prior to all runs scoring.  In this scenario, four earned runs.

If the D3K was a result of a passed ball, then that runner is not charged to the pitcher and for scoring earned runs, there should be one out.  Thus no earned runs as the next two outs came prior to the runs scoring.