Difference between revisions of "User:Saul/probability"
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'''⊃''' - Superset of.<br> | '''⊃''' - Superset of.<br> | ||
'''⊇''' - Is not a superset of.<br> | '''⊇''' - Is not a superset of.<br> | ||
+ | '''ℙ(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> | ||
'''ω∈A''' - The outcome '''ω''' is in the event '''A'''<br> | '''ω∈A''' - The outcome '''ω''' is in the event '''A'''<br> | ||
− | '''A∪B''' - The union of '''A''' and '''B''' - The set containing all the elements from '''A''' and '''B''' without duplicates. | + | '''A∪B''' - The union of '''A''' and '''B''' - The set containing all the elements from '''A''' and '''B''' without duplicates.<br> |
− | '''A∩B''' - The intersection of '''A''' and '''B''' - The set containing all the '''common''' elements from '''A''' and '''B'''. | + | '''A∩B''' - The intersection of '''A''' and '''B''' - The set containing all the '''common''' elements from '''A''' and '''B'''.<br> |
+ | '''A∩B = ∅''' - The sets '''A''' and '''B''' are disjoint.<br> | ||
+ | '''ℙ(A∪B) = ℙ(A) + ℙ(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.