Question

The center for disease control and prevention (CDC) recently conducted a study on the hand washing habits of individuals and the spread of diarrhea in the general population. Diarrheas can be fatal if left untreated and is especially dangerous for young children and older individuals. Answer the following questions using the results of the study, which are presented in the table below:

Hand-washing habit	Got sick with diarrhea	Did not get sick	Total
Does not wash hands	59	32	91
Washes hands w/ water only	45	88	133
Wash hands w/ soap and water	30	120	150
Total	134	240	374

Show your work and use correct probability notation.

(1) Help the CDC understand who is least likely to get diarrhea.

(2) A person arrives at the ER and the admitting physician determines that the patients is suffering from severe diarrhea. What are the chances that this person does wash hands with soap and water? Does not wash hands at all?

(3) You see a person stepping out of the restrooms. What is the probability that this person washed hands with water only?

Answer 1