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. What is the sum of the probabilities of an event and its complement?

3. What is the probability that neither an event nor its complement happens?

Answer 1

Using probability concepts, it is found that:

1. P(A) = 0.2268.

2. 100%.

3. 0%.

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A probability is the number of desired outcomes divided by the number of total outcomes.

Item 1:

• 44 countries in Asia.
• Total of 23 + 12 + 47 + 44 + 54 + 14 = 194 countries.

Then:

$P(A) = \frac{44}{194} = 0.2268$

Itens 2 and 3:

• The complement of an event is it's negation.
• Either an event happens, or it does not, that is, either the event happens, or it's complement does, thus the sum of the probabilities of an event and it's complement is of 100%.
• From the above bullet point, there is also a 0% probability that neither an event nor its complement happens.

A similar problem is given at brainly.com/question/24297482