Student Debt. The Association of American Universities published a report titled “Looking More Closely at Student Debt.” This report explores the issue about the cost of a college education and its impact on student loan debt. Using information from a credit reporting company, the following table provides a percentage distribution for the loan balance of outstanding student loans from individuals with graduate, professional, and undergraduate degree debt.

Loan balance Percentage

$1–$10,000 43.1

$10,001–$25,000 29.2

$25,001–$50,000 16.5

$50,001–$75,000 5.8

$75,001–$100,000 2.3

$100,001 or more 3.1 Suppose that one of these individuals is selected at random.

a. Without using the general addition rule, determine the probability that the individual obtained has a loan balance either between

$10,001 and $100,000, inclusive, or at most $75,000.

b. Obtain the probability in part

(a) by using the general addition rule.

c. Which method did you find easier?