In: Statistics and Probability
| Age Group | Males | Females | 
| 65 - 69 | 0.016 | 0.0 | 
| 70 - 74 | 
 0.00  | 
0.022 | 
| 75 - 79 | 0.049 | 0.023 | 
| 80 - 84 | 0.086 | 0.078 | 
| 85+ | 0.35 | 0.279 | 
Suppose an unrelated 82-year-old man, 72-year-old woman and 77-year-old man are selected from a community.
What is the probability that exactly one of the three people has Alzheimer's disease?