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Chapter 4: Problem 94

Explain the meaning of the union of two events. Give one example.

Short Answer

Expert verified
Union of two events, denoted as \(A \cup B\), refers to the situation where either event A, event B, or both take place. An example: In a dice throw, if event A is getting a number less than 4 and event B is getting an even number, the union of A and B, \(A \cup B\) is {1,2,3,4,6}.

Step by step solution

01

Definition of Union of Two Events

The union of two events A and B, denoted as \(A \cup B\), refers to a combined event that occurs if either event A, event B, or both events take place.
02

Formulate An Example

Let's consider a dice throw. Let's denote event A as the occurrence of a number less than 4, hence A = {1,2,3}, and event B as the occurrence of an even number, hence B = {2,4,6}.
03

Evaluate the Union

The union of events A and B occurs when a number that is less than 4 or an even number is obtained in the dice throw. As such, \(A \cup B\)= {1,2,3,4,6}. This means that if we get any of these numbers, the union event occurs.

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