The table shows the educational attainment of the population of a certain country, ages 25 and over, expressed in nfitions Find the probability that a randomly selected person, aged 25 or over, has completed four years of high school only or is maleMaleFemaleTotalYears of High SchoolYears of CollegeTotalLess than 44 onlySome (less than 4)4 or more272421862502425221254255256257258259The probability is 40
Q. The table shows the educational attainment of the population of a certain country, ages 25 and over, expressed in nfitions Find the probability that a randomly selected person, aged 25 or over, has completed four years of high school only or is maleMaleFemaleTotalYears of High SchoolYears of CollegeTotalLess than 44 onlySome (less than 4)4 or more272421862502425221254255256257258259The probability is 40
Rephrase Problem: First, let's rephrase the "What is the probability that a randomly selected person, aged 25 or over, has completed four years of high school only or is male?"
Find Totals: To solve this problem, we need to find the total number of people who have completed four years of high school only and the total number of males. Then we will add these numbers together, making sure not to double-count males who have also completed four years of high school only.
Calculate Males: From the table, we can see that 24 females and 24 males have completed four years of high school only, making a total of 48 people.
Avoid Double-Counting: Next, we need to find the total number of males. Adding the males across all categories of educational attainment, we get 27 (Less than 4 years of high school) + 24 (4 years of high school only) + 21 (Some college, less than 4 years) + 86 (4 or more years of college) = 158 males.
Combine Numbers: Now, we need to subtract the number of males who have completed four years of high school only from the total number of males to avoid double-counting. Since there are 24 males who have completed four years of high school only, we subtract this from the total number of males: 158−24=134 males who have not completed four years of high school only.
Calculate Probability: We then add the number of people who have completed four years of high school only 48 to the number of males who have not completed four years of high school only 134 to get the total number of people who meet at least one of the conditions: 48+134=182.
Correct Total Population: Finally, we need to find the probability. The total population aged 25 and over is the sum of all individuals in the table, which is 166. The probability is the number of favorable outcomes (182) divided by the total number of outcomes (166).
Recalculate Probability: Let's correct the total population by adding the total number of males and females: 158 (total males) + 80 (total females) = 238.
Simplify Fraction: Now we can calculate the correct probability. The probability is the number of favorable outcomes 182 divided by the total number of outcomes 238. This simplifies to the fraction238182.
Simplify Fraction: Now we can calculate the correct probability. The probability is the number of favorable outcomes 182 divided by the total number of outcomes 238. This simplifies to the fraction 238182.To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 182 and 238 is 2. Dividing both by 2, we get 11991.
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