The fielder has a choice of which person to get out after the batter hits the ball. They can choose to throw to first and get the batter out, or they could choose to throw to a different base to get a different runner out. Since the result of the at-bat was an out, regardless of who actually gets put out, the batter doesn’t get credit for a “hit” even though he made contact.
Also. Just for fun. If the batter hits into a double play where the fielders get two outs on the same pitch, and a runner scores, the batter does not get credit for an rbi.
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