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.\begin{tabular}{|l|c|c|c|c|c|}\hline & \begin{tabular}{c} Less than 4 \\Years High \\School\end{tabular} & \begin{tabular}{c} 4 Years \\Onighly \\Onchool\end{tabular} & \begin{tabular}{c} Some \\than 4 years)\end{tabular} & \begin{tabular}{c} 4 Years \\College (or \\More)\end{tabular} & Total \\\hline Male & 11 & 26 & 20 & 23 & 80 \\\hline Female & 16 & 28 & 22 & 21 & 87 \\\hline Total & 27 & 54 & 42 & 44 & 167 \\\hline\end{tabular}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)
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.\begin{tabular}{|l|c|c|c|c|c|}\hline & \begin{tabular}{c} Less than 4 \\Years High \\School\end{tabular} & \begin{tabular}{c} 4 Years \\Onighly \\Onchool\end{tabular} & \begin{tabular}{c} Some \\than 4 years)\end{tabular} & \begin{tabular}{c} 4 Years \\College (or \\More)\end{tabular} & Total \\\hline Male & 11 & 26 & 20 & 23 & 80 \\\hline Female & 16 & 28 & 22 & 21 & 87 \\\hline Total & 27 & 54 & 42 & 44 & 167 \\\hline\end{tabular}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)
Identify Total Number: Identify the total number of people with four years (or more) of college. According to the table, there are 23 million males and 21 million females with this level of education, for a total of 44 million people.Calculation: 23 (males) + 21 (females) = 44 (total)
Identify Total Population: Identify the total population. According to the table, the total population is 167 million people.Calculation: The total is already given in the table as 167.
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.Calculation: Odds in favor = Number without 4 years collegeNumber with 4 years college=167−4444=12344
Reduce Odds in Favor: Reduce the odds in favor to the most reduced form. To do this, find the greatest common divisor (GCD) of 44 and 123 and divide both numbers by the GCD.Calculation: The GCD of 44 and 123 is 1 (since 44 and 123 are coprime). Therefore, the odds in favor in the most reduced form are 44/123.
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.Calculation: Odds against = Number without 4 years college / Number with 4 years college = 44123
Reduce Odds Against: Reduce the odds against to the most reduced form. Since the GCD of 123 and 44 is 1, the odds against in the most reduced form are 123/44.
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