Difference between revisions of "User:Saul/probability"

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(Notations)
 
(Notations)
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'''&sup;''' - Superset of.<br>
 
'''&sup;''' - Superset of.<br>
 
'''&supe;''' - Is not a superset of.<br>
 
'''&supe;''' - Is not a superset of.<br>
 +
'''&#8473;(A)''' - Probability of '''A'''.<br>
 
'''A<sup>c</sup>''' - A compliment - The event '''A''' does not occur.<br>
 
'''A<sup>c</sup>''' - A compliment - The event '''A''' does not occur.<br>
 
'''&omega;&isin;A''' - The outcome '''&omega;''' is in the event '''A'''<br>
 
'''&omega;&isin;A''' - The outcome '''&omega;''' is in the event '''A'''<br>
'''A&cup;B''' - The union of '''A''' and '''B''' - The set containing all the elements from '''A''' and '''B''' without duplicates.
+
'''A&cup;B''' - The union of '''A''' and '''B''' - The set containing all the elements from '''A''' and '''B''' without duplicates.<br>
'''A&cap;B''' - The intersection of '''A''' and '''B''' - The set containing all the '''common''' elements from '''A''' and '''B'''.
+
'''A&cap;B''' - The intersection of '''A''' and '''B''' - The set containing all the '''common''' elements from '''A''' and '''B'''.<br>
 +
'''A&cap;B = &empty;''' - The sets '''A''' and '''B''' are disjoint.<br>
 +
'''&#8473;(A&cup;B) = &#8473;(A) + &#8473;(B)''' - The sets '''A''' and '''B''' are disjoint.<br>
 +
'''#A''' - The number of elements '''A''' contains if '''A''' is finite.<br>

Revision as of 22:51, 6 March 2020

Notations

Ω - The outcome space.
ω - An outcome.
- A non event.
- Union.
- Intersection.
- Is in.
- Is not in.
- Subset of.
- Subset or equal to.

Note: there is a small difference between & but sometimes they get used interchangeably.

- Is not a subset of.
- Superset of.
- Is not a superset of.
ℙ(A) - Probability of A.
Ac - A compliment - The event A does not occur.
ω∈A - The outcome ω is in the event A
A∪B - The union of A and B - The set containing all the elements from A and B without duplicates.
A∩B - The intersection of A and B - The set containing all the common elements from A and B.
A∩B = ∅ - The sets A and B are disjoint.
ℙ(A∪B) = ℙ(A) + ℙ(B) - The sets A and B are disjoint.
#A - The number of elements A contains if A is finite.