Question

Use the following information to answer the next six exercises. 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(E).

Short answer

The solution is$$\begin{gathered} P\left(E\right)=\frac{47}{194} \\ =0.24 \end{gathered}$$

Step-by-step solution

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.

Concept used

Probabilityisametricfordetermininghowcertainweareoftheresultsofacertainexperiment.

Theprobabilityiscalculatedusingthefollowingformula:

Probability

$=\frac{\text{Fanorable number of cases}}{\text{Total number of cases}}$

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="1648042490005" $$\begin{gathered} P\left(A\right)=\frac{2}{4} \\ =0.5 \end{gathered}$$, there are two outcomes that favor the event A H T, T H.

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 $\mathrm{N}=$the event that a country is in North America.

Let $\mathrm{O}=$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 Europe, the favorable number of cases is $47$and total cases are $194$. Therefore, the probability that a country is in Europe is:

localid="1648042519446" $$\begin{gathered} P\left(E\right)=\frac{47}{194} \\ =0.24 \end{gathered}$$