Final answer:
The most likely psychological disorder to develop after accidentally burning down a home due to careless smoking is Adjustment Disorder. This condition involves difficulty in coping with a significant life stressor, leading to emotional and behavioral symptoms.
Step-by-step explanation:
If careless smoking caused a family's home to burn down, the individual responsible would most likely develop Adjustment Disorder. This psychological condition arises in response to a significant stressor or life event. Experiencing a traumatic incident such as accidentally burning down one's house due to smoking can be an immense stressor, requiring a period of psychological adjustment. Symptoms may include feelings of hopelessness, frequent crying, anxiety, and difficulty concentrating. These emotional upheavals occur because the individual struggles to cope with the aftermath of their actions and the profound impact on their life and that of their family members.
It's important to note that while tobacco and second-hand smoke are linked to serious health issues like cancer, specifically lung cancer, and respiratory problems, the question here pertains to the psychological effects of an event caused by smoking, rather than the health effects of smoke exposure itself.