Data from the Office on Smoking and Health, Centers for Disease Control and Prevention, indicate that 44% of adults who did not finish high school, 31% of high school graduates, 27% of adults who completed some college, and 12% of college graduates smoke. Suppose that one individual is selected at random, and it is discovered that the individual smokes. What is the probability that the individual is a college graduate?

Education	Employed	Unemployed
Not a high school graduate	0.0975	0.0080
High School Graduate	0.3108	0.0128
Some college, no degree	0.1785	0.0062
Associate Degree	0.0849	0.0023
Bachelor Degree	0.1959	0.0041
Advanced degree	0.0975	0.0015

The table above can tell you the proportion of people with various levels of education in the population. Any degree (Associate, Bachelor, or Advanced) counts as graduating from college.

Please provide a detailed solution