Question

the table shows the educational attainment of a population, expressed in millions. find the odds in favor and the odds against a randomly selected member of the population with four years (or more) of college.

	less than 4 years high school	4 years high school only	some college (less than 4 years)	4 years college (or more)	total
female	13	32	19	19	83
total	29	61	38	35	163

the odds, in most reduced form, in favor of selecting a member of the population with four years (or more) of college are (square:square) (simplify your answers.)
the odds, in most reduced form, against of selecting a member of the population with four years (or more) of college are (square:square) (simplify your answers.)

Explanation:

Step1: Find number of people with 4+ years of college

The number of people with 4 years (or more) of college is the total in the "4 Years College (or More)" column, which is 35 million.

Step2: Find number of people without 4+ years of college

The number of people without 4 years (or more) of college is the total population minus the number of people with 4 years (or more) of college. So, $163 - 35=128$ million.

Step3: Calculate odds in - favor

The odds in favor of an event is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. The odds in favor of selecting a member with 4 years (or more) of college is $\frac{35}{128}$.

Step4: Calculate odds against

The odds against an event is the ratio of the number of unfavorable outcomes to the number of favorable outcomes. The odds against selecting a member with 4 years (or more) of college is $\frac{128}{35}$.

Answer:

The odds in favor are $\frac{35}{128}$
The odds against are $\frac{128}{35}$