**Age Group**

**Tested**

**Never Tested**

18–44 years

50,080

56,405

45–64 years

23,768

48,537

65–74 years

2,694

15,162

75 years and older

1,247

14,663

**Total**

77,789

134,767

Discuss probability. What is its history? What is the theory of probability? How is it calculated? What are the advantages and disadvantages of using this technique?

- Identify and discuss the two major categories of probability interpretations, whose adherents possess conflicting views about the fundamental nature of probability.
- Based on this survey, what is the probability that a randomly selected American adult has never been tested? Show your work. Hint: using the data in the two total rows, this would be calculated as p (NT) /( p (NT) + p (T)), where p is probability.
- What proportion of 18- to 44-year-old Americans have never been tested for HIV? Hint: using the values in the 18–44 cells, this would be calculated as p (NT) / ( p (NT) + p (T)), where p is probability. Show your work.

Submit your (2-3 pages) paper by the end of this module.