Questions: Events that have no sample space outcomes in common, and therefore cannot occur simultaneously, are A. Independent B. Mutually exclusive C. Intersections D. Unions

Events that have no sample space outcomes in common, and therefore cannot occur simultaneously, are A. Independent B. Mutually exclusive C. Intersections D. Unions
Transcript text: Events that have no sample space outcomes in common, and therefore cannot occur simultaneously, are $\qquad$ A. Independent B. Mutually exclusive C. Intersections D. Unions
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Solution

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Solution Steps

The question is asking about the definition of events that cannot occur simultaneously. These events are known as mutually exclusive events. Therefore, the correct answer is option B.

Step 1: Understanding the Question

The question asks about events that cannot occur simultaneously. In probability theory, such events are defined as mutually exclusive events.

Step 2: Identifying the Correct Option

Among the provided options:

  • A. Independent: Events that do not affect each other's occurrence.
  • B. Mutually exclusive: Events that cannot occur at the same time.
  • C. Intersections: The common outcomes of two events.
  • D. Unions: The combined outcomes of two events.

The correct definition for events that cannot occur simultaneously is given by option B.

Final Answer

The answer is \\(\boxed{B}\\).

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