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Chapter 3: Q. 16 (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(O).

Short Answer

Expert verified

The solution isP(O)=14194=797=0.07

Step by step solution

01

Given

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

Concept used

Probabilityisametricfordetermininghowcertainweareoftheresultsofacertainexperiment.
Theprobabilityiscalculatedusingthefollowingformula:
Probability

=Fanorable 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.
Let's say A= only has one tail.
Because localid="1648042779919" P(A)=24=0.5, there are two outcomes that favor the event A H T, T H.
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 Oceania, the favorable number of cases is 14and total cases are 194. Therefore, the probability that a country is in Oceania is:

localid="1648042830395" P(O)=14194=797=0.07

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