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Multiple select📘 S.CP.A.1🧠 DOK 1

Question:

Which of the following statements correctly describe the concepts of unions, intersections, and complements in probability? Select all that apply.

Answer Choices:

  • A) The union of two events includes all outcomes that are in either event.
  • B) The intersection of two events includes only outcomes that are in both events.
  • C) The complement of an event includes all outcomes that are not in the event.
  • D) The intersection of two events includes all outcomes that are in either of the events.
  • E) The union of two events includes only outcomes that are in both events.
✅ Answer:
The union of two events includes all outcomes that are in either event.; The intersection of two events includes only outcomes that are in both events.; The complement of an event includes all outcomes that are not in the event.

💡 Explanation:

  • In probability, the union of two events A and B (written as A ∪ B) includes all outcomes that are in either A, B, or both.

  • The intersection of two events A and B (written as A ∩ B) includes only the outcomes that are in both A and B.

  • The complement of an event A includes all outcomes in the sample space that are not in A.

Standard: S.CP.A.1 | DOK: 1

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