5.29 Smoke alarms statistics National estimates of reported fires derived from the National Fire Incident Reporting System (NFIRS) and the National Fire Protection Association’s (NFPA’s) fire department survey show that in 2009–2013, 38% of home fire deaths occurred in homes with no smoke alarms, and 21% of home fire deaths were caused by fires in which smoke alarms were present but failed to operate. Let D denote {home fire death}, P denote

{Smoke alarm is present}, and let F denote {Failed to operate}.

Using events and their complements, identify each of the two given probabilities as a conditional probability.