A group of psychiatrists has noticed an unusual number of older individuals with depression in the surrounding community. A decision is taken to conduct a cross-sectional study to estimate the prevalence of depression in this specific population. Estimates for the prevalence of depression (cases per 100 individuals) in the community are as follows:
Age group
Women Men
60-69= 9.1, men 8.4
70-79= 11.9 men 10.4
80-89= 13.5 men 12.4
90+ = 13.3 men 12.1
Total=11.9 men total =10.8
Suppose during an afternoon clinic, a psychiatrist sees a 65-year-old woman, a 72-year-old man, and an 84-year-old woman from this community. Assuming no relation between the 3 patients, What is the probability that none of them has depression?