In most cases this is called a ball. If the batter swings at the ball and misses, however, the pitch is called a strike. If the player swings and gets on base, the ball is obviously not called anything.
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It was not a home run. It was a hit with many errors. Say you hit a ground ball to 3rd and the 3rd baseman over throws the throw to 1st, then you run to second, if the 1st baseman overs throws, or under throws, the throw to second you can go to 3rd if they over throw 3rd you go home.