In many settings, the “rules of probability” are just basic facts about percents
ID: 3206469 • Letter: I
Question
In many settings, the “rules of probability” are just basic facts about percents. The Graduate Management Admission Test (GMAT) website provides the following information about the geographic regions of those who took the test in 2012–13: 2.3% were from Africa; 0.4% were from Australia and the Pacific Islands; 2.7% were from Canada; 11.5% were from Central and South Asia; 29.1% were from East and Southeast Asia; 2.1% were from Eastern Europe; 2.8% were from Mexico, the Caribbean, and Latin America; 3.6% were from the Middle East; 38.0% were from the United States; and 7.4% were from Western Europe.3
(a)What percent of those who took the test in 2012–13 were from North America (either Canada, the United States, Mexico, the Caribbean, or Latin America)? Which rule of probability did you use to find the answer?
(b)What percent of those who took the test in 2012–13 were from some other region than the United States? Which rule of probability did you use to find the answer?
Explanation / Answer
What percent of those took the test in 2012-13 from North America (Either Canda, the United States, Mexico, the Caribbean, or Latin America
percent of those took the test in 2012-13 from North America =
Percent of those who took from Canada + Percent of those who took from the United States + Percent of those who took from Mexico, the Caribbean , Latin America
= 2.7 + 38.0 + 2.8 = 43.5%
The probability rule used for this is "Addition Theorem"
What percent of those who took the test in 2012–13 were from some other region than the United States?
= 100 - Percent of those who took from the United States = 100 -38=62%
The probability rule used for this is "Complement rule"
Geographic Region % took the test Africa 2.3 Australia and the Pacific Islands 0.4 Canada 2.7 Central and south Asia 11.5 East and southeast Asia 29.1 Eastern Europe 2.1 Mexico, The Caribbean, and latin America 2.8 Middle East 3.6 United States 38 Westren Europe 7.4Related Questions
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