When we select samples from a population and we want to use that sample to represent the population, we often use "probability sampling" techniques so that we are more likely to end up with a representative sample than if we just chose subjects using a convenience method.

Table 1 below presents patients who were put on "Heart Healthy" diets 5 years ago. We are going to look at subjects from this group of 605 patients.

Table 1. Number of subjects with given health-related states and events by type of diet consumed (N=605)

		Cancers	Deaths	Nonfatal illness	Healthy	Total
Diet type	AHA	15	24	25	239	303
	Mediterranean	7	14	8	273	302
	Total	22	38	33	512	605

Consider Table 1 :

1. What is the probability that if you randomly selected a person on the AHA diet, he or she would have an illness or have died? (2 point)
2. If 3 people on the AHA diet are chosen at random, what is the probability that they will all be healthy? (2 points)
3. What is the probability that if you randomly selected a person on the Mediterranean diet, he or she would have some sort of illness or death? (2 point)
4. What is the probability that if you randomly selected a person on the Mediterranean diet, he or she would have cancer? (2 point)
5. If you randomly select five people from the Mediterranean diet, what is the probability that they would all be healthy? (2 points)