Answered

IDNLearn.com offers a seamless experience for finding and sharing knowledge. Join our interactive community and access reliable, detailed answers from experienced professionals across a variety of topics.

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?

Sagot :

Using probability concepts, it is found that:

1. P(A) = 0.2268.

2. 100%.

3. 0%.

-------------------------

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:

[tex]P(A) = \frac{44}{194} = 0.2268[/tex]

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 https://brainly.com/question/24297482

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.