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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


Onighly


Onchool







Some


than 4 years)







4 Years


College (or


More)




Total


Male
11
26
20
23
80


Female
16
28
22
21
87


Total
27
54
42
44
167




The odds, in most reduced form, in favor of selecting a member of the population with four years (or more) of college are 
◻ ?
Simplify your answers)

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.\newline\begin{tabular}{|l|c|c|c|c|c|}\newline\hline & \begin{tabular}{c} \newlineLess than 44 \\\newlineYears High \\\newlineSchool\newline\end{tabular} & \begin{tabular}{c} \newline44 Years \\\newlineOnighly \\\newlineOnchool\newline\end{tabular} & \begin{tabular}{c} \newlineSome \\\newlinethan 44 years)\newline\end{tabular} & \begin{tabular}{c} \newline44 Years \\\newlineCollege (or \\\newlineMore)\newline\end{tabular} & Total \\\newline\hline Male & 1111 & 2626 & 2020 & 2323 & 8080 \\\newline\hline Female & 1616 & 2828 & 2222 & 2121 & 8787 \\\newline\hline Total & 2727 & 5454 & 4242 & 4444 & 167167 \\\newline\hline\newline\end{tabular}\newlineThe odds, in most reduced form, in favor of selecting a member of the population with four years (or more) of college are \square ?\newlineSimplify your answers)

Full solution

Q. 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.\newline\begin{tabular}{|l|c|c|c|c|c|}\newline\hline & \begin{tabular}{c} \newlineLess than 44 \\\newlineYears High \\\newlineSchool\newline\end{tabular} & \begin{tabular}{c} \newline44 Years \\\newlineOnighly \\\newlineOnchool\newline\end{tabular} & \begin{tabular}{c} \newlineSome \\\newlinethan 44 years)\newline\end{tabular} & \begin{tabular}{c} \newline44 Years \\\newlineCollege (or \\\newlineMore)\newline\end{tabular} & Total \\\newline\hline Male & 1111 & 2626 & 2020 & 2323 & 8080 \\\newline\hline Female & 1616 & 2828 & 2222 & 2121 & 8787 \\\newline\hline Total & 2727 & 5454 & 4242 & 4444 & 167167 \\\newline\hline\newline\end{tabular}\newlineThe odds, in most reduced form, in favor of selecting a member of the population with four years (or more) of college are \square ?\newlineSimplify your answers)
  1. Identify Total Number: Identify the total number of people with four years (or more) of college. According to the table, there are 2323 million males and 2121 million females with this level of education, for a total of 4444 million people.\newlineCalculation: 2323 (males) + 2121 (females) = 4444 (total)
  2. Identify Total Population: Identify the total population. According to the table, the total population is 167167 million people.\newlineCalculation: The total is already given in the table as 167167.
  3. Calculate Odds in Favor: Calculate the odds in favor of selecting a member of the population with four years (or more) of college. The odds in favor are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.\newlineCalculation: Odds in favor = Number with 4 years collegeNumber without 4 years college=4416744=44123\frac{\text{Number with 4 years college}}{\text{Number without 4 years college}} = \frac{44}{167 - 44} = \frac{44}{123}
  4. Reduce Odds in Favor: Reduce the odds in favor to the most reduced form. To do this, find the greatest common divisor (GCD) of 4444 and 123123 and divide both numbers by the GCD.\newlineCalculation: The GCD of 4444 and 123123 is 11 (since 4444 and 123123 are coprime). Therefore, the odds in favor in the most reduced form are 44/12344 / 123.
  5. Calculate Odds Against: Calculate the odds against selecting a member of the population with four years (or more) of college. The odds against are the ratio of the number of unfavorable outcomes to the number of favorable outcomes.\newlineCalculation: Odds against = Number without 44 years college / Number with 44 years college = 12344\frac{123}{44}
  6. Reduce Odds Against: Reduce the odds against to the most reduced form. Since the GCD of 123123 and 4444 is 11, the odds against in the most reduced form are 123/44123 / 44.

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