Probability 2

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Last updated 4:02 AM on 10/4/26
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7 Terms

1
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What is a Complement?

A complement of an event A with respect to sample space S is a subset of all elements of S that are NOT in A, denoted as A′ or Ac

<p>A complement of an event A with respect to sample space S is a subset of all elements of S that are <strong><u>NOT</u> </strong>in A, denoted as A′ or A<sup>c</sup></p>
2
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What is an Intersection (of events)?

The intersection of two events A and B, denoted by A ∩ B, is the event containing all elements that are common to both A AND B

<p>The intersection of two events A and B, denoted by A ∩ B, is the event containing all elements that are common to both A <strong><u>AND</u></strong> B</p>
3
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What is a Union (of events)?

The union of two events A and B, denoted by A ∪ B, is the event containing all elements that belong to A OR B

<p>The union of two events A and B, denoted by A ∪ B, is the event containing all elements that belong to A <strong><u>OR</u></strong> B</p>
4
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What are Disjoint or Mutually Exclusive Events?

Two events, A and B are disjoint or mutually exclusive if A ∩ B = ∅

<p>Two events, A and B are disjoint or mutually exclusive if A ∩ B = ∅</p>
5
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What is the Difference of Events?

The difference of two events A\B is the event containing all elements in A that are NOT IN B

<p>The difference of two events A\B is the event containing all elements in A that are <strong><u>NOT IN</u></strong> B</p>
6
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What are De Morgan’s Laws?

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7
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Provide examples of the Commutative, Associative, and Distributive properties of set operations

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