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.
1. Find P(A).
2. Find P(E).
3. Find P(F).
4. Find P(N).
5. Find P(O).
6. Find P(S).

Answer 1

The probability for each event follows below:

P(A)= 0.23

P(E)= 0.24

P(F)= 0.28

P(N)= 0.12

P(O)= 0.07

P(S)= 0.06

Probability

Probability can be defined as the possibility that an event will occur. For an event, the probability can be found from the ratio between the number of favorable outcomes for the event and the total number of outcomes.  Values of probability vary between 0 and 1.

A probability for an event is represented by P(A), P(B), etc. And exactly this that question asks for you.

1. Arrange the text of the question

       North America=23 countries

       South America= 12 countries

       Europe=  47 countries

       Asia= 44 countries

      Africa =54 countries

      Oceania= 14 countries

2. Find the total of countries

$N_{total}=23+12+47+44+54+14=194$

3. Find P(A)

A= the event that a country is in Asia= 44 countries. Therefore,

$P(A)=\frac{numberofcountries of Asia}{Total number of countries } \\ \\ P(A)=\frac{44}{194} =0.23\\ \\ P(A)=0.23$

4. Find P(E)

E= the event that a country is in Europe= 47 countries. Therefore,

$P(E)=\frac{numberofcountries of Europe}{Total number of countries } \\ \\ P(E)=\frac{47}{194} =0.24\\ \\ P(E)=0.24$

5. Find P(F)

F= the event that a country is in Africa= 54 countries. Therefore,

$P(F)=\frac{numberofcountries of Africa}{Total number of countries } \\ \\ P(F)=\frac{54}{194} =0.28\\ \\ P(F)=0.28$

6. Find P(N)

N= the event that a country is in North America= 23 countries. Therefore,

$P(N)=\frac{numberofcountries of North America}{Total number of countries } \\ \\ P(N)=\frac{23}{194} =0.12\\ \\ P(N)=0.12$

7. Find P(O)

O= the event that a country is in Oceania= 14 countries. Therefore,

$P(O)=\frac{numberofcountries of Oceania}{Total number of countries } \\ \\ P(O)=\frac{14}{194} =0.07\\ \\ P(O)=0.07$

8. Find P(S)

S= the event that a country is in South America= 12 countries. Therefore,

$P(S)=\frac{numberofcountries of South America}{Total number of countries } \\ \\ P(S)=\frac{12}{194} =0.06\\ \\ P(S)=0.06$

Learn more about probability here:

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