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Chapter 3: Q. 12 (page 216)

Use the following information to answer the next six exercises. There are 23countries in North America, 12countries in

South America, 47countries in Europe, 44countries in Asia, 54countries in Africa, and 14in 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(A).

Short Answer

Expert verified

The solution isP(A)=2297=0.23

Step by step solution

01

Given

Weareprovidedthefollowinginformationinthegivenquestion:
North America has 23nations, South America has 12, Europe has 47countries, Asia has 44countries, Africa has 54 countries, and Oceania has 14countries.
02

Concept used

Probabilityisametricfordetermininghowcertainweareoftheresultsofacertainexperiment.
Theprobabilityiscalculatedusingthefollowingformula:
Probability

=Farorable number of casesTotal number of cases

If we flip a coin twice, the sample space associated with this random experiment is H H, H T, T H, T T, where T= tails and H= heads.
Assume that A= only has one tail.
There are two possibilities that favor the event.

localid="1648042379572" {HT,TH}, soP(A)=24=0.5.

03

Calculation

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.

Now to find the probability that a country is in Asia, the favorable number of cases is 44and total cases are 194. Therefore, the probability that a country is in Asia is:

localid="1648042394978" P(A)=44194=2297=0.23

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Most popular questions from this chapter

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