What crime involves causing the death of another person through an act that is dangerous to others without intending to kill?

The crime that involves causing the death of another person through an act that is dangerous to others without the intention to kill is classified as third-degree murder. This type of murder is characterized by a disregard for human life, where the perpetrator engages in behavior that poses a significant risk to others, leading to a fatality. While the individual may not have had the specific intent to kill, their actions were reckless or indifferent toward the potential consequences.

Third-degree murder addresses situations where the act is inherently dangerous and results in death, encapsulating the idea of acting with a depraved mind—a conscious disregard for known risks. This aligns with the description of causing death without intent to kill, making it the correct answer.

The other options, such as manslaughter and negligent homicide, encompass situations with different mental states or circumstances surrounding the act. For instance, manslaughter often involves provocation or emotional disturbance, distinguishing it from the recklessness seen in third-degree murder. Negligent homicide typically involves unintentional death resulting from negligence rather than reckless behaviors, further differentiating it from third-degree murder.