Asked by Kayla Burke on May 04, 2024

verifed

Verified

Belgium has two official languages: French and Dutch.Assume that about 60% of the people speak Dutch and 40% of the people speak French.Define the event A as the event that two randomly selected Belgians speak the same language.What is the complement of event A?

A) 0.48
B) 0.52
C) {Dutch,French}
D) {(Dutch,French) , (French,Dutch) }

Official Languages

Languages that are given a special legal status in particular countries, states, or other jurisdictions for official government use.

Belgium

A country located in Western Europe, known for its medieval towns, Renaissance architecture, and as headquarter of the European Union and NATO.

  • Distinguish and implement the guidelines for determining the complement of an event.
verifed

Verified Answer

GP
gianicola perronMay 07, 2024
Final Answer :
D
Explanation :
The complement of event A is the event that two randomly selected Belgians speak different languages. This can happen in two ways: either the first person speaks Dutch and the second person speaks French, or the first person speaks French and the second person speaks Dutch. Therefore, the complement of event A is {(Dutch, French), (French, Dutch)}.