There are 23 countries in North America, 12 countries in South America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Ocean region).Let A = the event that a country is in Asia.Let E = the event that a country is in Europe.Let F = the event that a country is in Africa.Let N = the event that a country is in North America.Let O = the event that a country is in Oceania.Let S = the event that a country is in South America.Find P(F). (Enter your probability as a fraction.)
Question
There are 23 countries in North America, 12 countries in South America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Ocean region).Let A = the event that a country is in Asia.Let E = the event that a country is in Europe.Let F = the event that a country is in Africa.Let N = the event that a country is in North America.Let O = the event that a country is in Oceania.Let S = the event that a country is in South America.Find P(F). (Enter your probability as a fraction.)
Solution
To find the probability of event F (a country is in Africa), we need to know the total number of countries in the world according to the given data.
First, let's add up the number of countries in each region:
23 (North America) + 12 (South America) + 47 (Europe) + 44 (Asia) + 54 (Africa) + 14 (Oceania) = 194 countries
The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes. In this case, the event is a country being in Africa, which can occur in 54 ways (since there are 54 countries in Africa). The total number of outcomes is the total number of countries, which is 194.
So, the probability P(F) is 54/194.
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