Questions: The table shows the educational attainment of the population of a certain country, ages 25 and over, expressed in millions. Find the probability that a randomly selected person, aged 25 or over, has completed four years of high school only or is male. Years of High School Years of College Less than 4 4 only Some (less than 4) 4 or more Total 12 25 20 23 80 12 32 18 24 86 24 57 38 47 166

The table shows the educational attainment of the population of a certain country, ages 25 and over, expressed in millions. Find the probability that a randomly selected person, aged 25 or over, has completed four years of high school only or is male.

Years of High School  Years of College   
Less than 4  4 only  Some (less than 4)  4 or more  Total  
12  25  20  23  80  
12  32  18  24  86  
24  57  38  47  166
Transcript text: The table shows the educational attainment of the population of a certain country, ages 25 and over, expressed in millions. Find the probability that a randomly selected person, aged 25 or over, has completed four years of high school only or is male. \begin{tabular}{|c|c|c|c|c|} \hline \multicolumn{2}{|c|}{ Years of High School } & \multicolumn{2}{c|}{ Years of College } & \\ \hline Less than 4 & 4 only & Some (less than 4) & 4 or more & Total \\ \hline 12 & 25 & 20 & 23 & 80 \\ \hline 12 & 32 & 18 & 24 & 86 \\ \hline 24 & 57 & 38 & 47 & 166 \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Identify the Criteria

The criteria for selection are: 4 only, male.

Step 2: Calculate the Total Number of Individuals Meeting the Criteria

The total number of individuals meeting the criteria (before adjusting for overlap) is 143.

Step 3: Adjust for Overlap (if necessary)

After adjusting for overlap, the total number of individuals meeting the criteria is 143.

Step 4: Calculate the Probability

The probability is calculated using the formula \(P = \frac{T}{N}\), where \(T\) is the total number of individuals meeting the criteria and \(N\) is the population size. Substituting the values, we get \(P = \frac{143}{166}\).

Final Answer:

The probability of selecting an individual who meets the criteria from the population is approximately 0.86.

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