An article was published [13] conceming the incidence of cardiac death attributable to the earthquake in Los Angeles County on January $17,1994 .$ In the week before the earthquake there were an average of 15.6 cardiac deaths per day in Los Angeles County. On the day of the earthquake, there were 51 cardiac deaths.
What is the exact probability of 51 deaths occurring on one day if the cardiac death rate in the previous week continued to hold on the day of the earthquake?