Z is carried off by a tiger. A fires at the tiger knowing it to be likely that the shot may kill Z, but not intending to kill Z and in good faith intending Z's benefit. A's bullet gives Z a mortal wound. A has committed:
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If harm is caused in good faith and with no intent to hurt, no offense is committed.
Step 1: Examine the facts. - Individual A shot the tiger with the intent of protecting individual Z, not to cause harm. Since the harm was unintentional, A has not committed any offense.