³1username³2³2name³2text_default³2version³21³2ts³2982147670³2ip³2209.66.79.109³2data³2newauthor³31³3minor³30³3text³31) Let ''U'' be a set of discrete points, {e}, called ''elementary events''.

2) Let every elementary event have a non-negative weight, w(e), assigned to it.

3) Let composite events be represented by subsets of ''U''.

4) Define the probability of an event X (subset of ''U''), be the sum of the weights, w(e), for every ''elementary event'' in X divided by the sum of the weights for all of ''U''.

[http://netdial.caribe.net/~rabeldin/Home.html RABeldin]
³3summary³3*³2tscreate³2982147670³2keepts³2982148904³2id³21272³2host³2cobrand.bomis.com³2revision³21³1username³2³2name³2text_default³2version³21³2ts³2982148904³2ip³2209.66.79.109³2data³2text³3:ProbabilityAndStatistics -- FrequencyProbability -- PersonalProbability

1) Let ''U'' be a set of discrete points, {e}, called ''elementary events''.

2) Let every elementary event have a non-negative weight, w(e), assigned to it.

3) Let composite events be represented by subsets of ''U''.

4) Define the probability of an event X (subset of ''U''), be the sum of the weights, w(e), for every ''elementary event'' in X divided by the sum of the weights for all of ''U''.

[http://netdial.caribe.net/~rabeldin/Home.html RABeldin]
³3minor³30³3newauthor³30³3summary³3*³2tscreate³2982147670³2keepts³2982149271³2id³21272³2host³2cobrand.bomis.com³2revision³22³1username³2³2name³2text_default³2version³21³2ts³2982149271³2ip³2209.66.79.109³2data³2newauthor³30³3minor³30³3text³3:ProbabilityAndStatistics
:FrequencyProbability -- PersonalProbability -- EclecticProbability

1) Let ''U'' be a set of discrete points, {e}, called ''elementary events''.

2) Let every elementary event have a non-negative weight, w(e), assigned to it.

3) Let composite events be represented by subsets of ''U''.

4) Define the probability of an event X (subset of ''U''), be the sum of the weights, w(e), for every ''elementary event'' in X divided by the sum of the weights for all of ''U''.

[http://netdial.caribe.net/~rabeldin/Home.html RABeldin]
³3summary³3*³2tscreate³2982147670³2keepts³2982174317³2id³21272³2host³2cobrand.bomis.com³2revision³23³1username³2RoseParks³2name³2text_default³2version³21³2ts³2982174317³2ip³2209.66.79.109³2data³2text³3:ProbabilityAndStatistics
:FrequencyProbability -- PersonalProbability -- EclecticProbability

1) Let '''U''' be a set of discrete points, '''e''', called ''elementary events''.

2) Let every elementary event. '''e''' have a non-negative ''weight'', w('''e'''), assigned to it.

3) Let composite events, Y1,Y2,Y3,... be represented by SubSet''s'' of '''U'''.

4) Define the ''probability'' of an event '''X''' (any subset of '''U'''), as the sum of the weights, w('''e'''), for every ''elementary event'' contained in '''X''' divided by the sum of the weights of every element of '''U'''.

[http://netdial.caribe.net/~rabeldin/Home.html RABeldin]
³3minor³30³3newauthor³31³3summary³3*Math is very precise...be careful. Still "fuzzy" as axioms.³2tscreate³2982147670³2keepts³2982174567³2id³21015³2host³2cobrand.bomis.com³2revision³24³1username³2RoseParks³2name³2text_default³2version³21³2ts³2982174567³2ip³2209.66.79.109³2data³2newauthor³30³3minor³30³3text³3:ProbabilityAndStatistics
:FrequencyProbability -- PersonalProbability -- EclecticProbability

1) Let '''U''' be a set of discrete points, '''e''', called ''elementary events''.

2) Let every elementary event. '''e''' have a non-negative ''weight'', w('''e'''), assigned to it.

3) Let ''composite events'', Y1,Y2,Y3,... be represented by SubSet''s'' of '''U'''.

4) Define the ''probability'' of an event '''X''' (any subset of '''U'''), as the sum of the weights, w('''e'''), for every ''elementary event'' contained in '''X''' divided by the sum of the weights of every element of '''U'''.

[http://netdial.caribe.net/~rabeldin/Home.html RABeldin]
³3summary³3*Math requires precision...still fuzzy.³2tscreate³2982147670³2keepts³2982174765³2id³21015³2host³2cobrand.bomis.com³2revision³25³1username³2RoseParks³2name³2text_default³2version³21³2ts³2982174765³2ip³2209.66.79.109³2data³2text³3:ProbabilityAndStatistics
:FrequencyProbability -- PersonalProbability -- EclecticProbability

1) Let '''U''' be a set of discrete points, '''e1''','''e2''','''e3'''..., be called ''elementary events''.

2) Let every elementary event, '''e''', have a non-negative ''weight'', w('''e'''), assigned to it.

3) Let ''composite events'', Y1,Y2,Y3,... be represented by SubSet''s'' of '''U'''.

4) Define the ''probability'' of an event '''X''' (any subset of '''U'''), as the sum of the weights, w('''e'''), for every ''elementary event'' contained in '''X''' divided by the sum of the weights of every element of '''U'''.

[http://netdial.caribe.net/~rabeldin/Home.html RABeldin]
³3minor³30³3newauthor³30³3summary³3*Math requires precision...still fuzzy.³2tscreate³2982147670³2keepts³2982174867³2id³21015³2host³2cobrand.bomis.com³2revision³26³1username³2RoseParks³2name³2text_default³2version³21³2ts³2982174867³2ip³2209.66.79.109³2data³2newauthor³30³3minor³30³3text³3:ProbabilityAndStatistics
:FrequencyProbability -- PersonalProbability -- EclecticProbability

1) Let '''U''' be a set of discrete points, '''e1''','''e2''','''e3'''..., be called ''elementary events''.

2) Let every elementary event, '''e''' in '''U''', have a non-negative ''weight'', w('''e'''), assigned to it.

3) Let ''composite events'', Y1,Y2,Y3,... be represented by SubSet''s'' of '''U'''.

4) Define the ''probability'' of an event '''X''' (any subset of '''U'''), as the sum of the weights, w('''e'''), for every ''elementary event'' contained in '''X''' divided by the sum of the weights of every element of '''U'''.

[http://netdial.caribe.net/~rabeldin/Home.html RABeldin]
³3summary³3*Math requires precision. Still fuzzy to me.³2tscreate³2982147670³2keepts³2982175094³2id³21015³2host³2cobrand.bomis.com³2revision³27³1username³2RoseParks³2name³2text_default³2version³21³2ts³2982175094³2ip³2209.66.79.109³2data³2text³3:ProbabilityAndStatistics
:FrequencyProbability -- PersonalProbability -- EclecticProbability

1) Let '''U''' be a set of discrete points, '''e1''','''e2''','''e3'''...,  called ''elementary events''.

2) Let every elementary event, '''e''' in '''U''', have a non-negative ''weight'', w('''e'''), assigned to it.

3) Let ''composite events'', Y1,Y2,Y3,... be represented by SubSet''s'' of '''U'''.

4) Define the ''probability'' of an event '''X''' (any subset of '''U'''), as the sum of the weights, w('''e'''), for every ''elementary event'' contained in '''X''' divided by the sum of the weights of every element of '''U'''.

[http://netdial.caribe.net/~rabeldin/Home.html RABeldin]
³3minor³30³3newauthor³30³3summary³3*³2tscreate³2982147670³2keepts³2982337457³2id³21015³2host³2cobrand.bomis.com³2revision³28³1username³2³2name³2text_default³2version³21³2ts³2982337457³2ip³2209.66.79.109³2data³2newauthor³31³3minor³30³3text³3:ProbabilityAndStatistics
:FrequencyProbability -- PersonalProbability -- EclecticProbability

1) Let '''U''' be a SeT of discrete points, '''e1''','''e2''','''e3'''...,  called ''elementary events''.

2) Let every elementary event, '''e''' in '''U''', have a non-negative ''weight'', w('''e'''), assigned to it.

3) Let ''composite events'', Y1,Y2,Y3,... be represented by SubSet''s'' of '''U'''.

4) Define the ''probability'' of an event '''X''' (any subset of '''U'''), as the sum of the weights, w('''e'''), for every ''elementary event'' contained in '''X''' divided by the sum of the weights of every element of '''U'''.

[http://netdial.caribe.net/~rabeldin/Home.html RABeldin]
³3summary³3*³2tscreate³2982147670³2keepts³2982337791³2id³21272³2host³2cobrand.bomis.com³2revision³29³1username³2³2name³2text_default³2version³21³2ts³2982337791³2ip³2209.66.79.109³2data³2text³3:ProbabilityAndStatistics
:FrequencyProbability -- PersonalProbability -- EclecticProbability

(These axioms are just the most elementary way to define probabilities. Other axiom schema are used with non-discrete points.)

1) Let '''U''' be a SeT of discrete points, '''e1''','''e2''','''e3'''...,  called '''elementary events'''. We call this set, the '''universe''' or '''sample space'''.

2) Let every elementary event, '''e''' in '''U''', have a non-negative ''weight'', w('''e'''), assigned to it.

3) Let '''composite events''', Y1,Y2,Y3,... be represented by SubSet''s'' of '''U'''.

4) Define the '''probability''' of an event '''X''' (any subset of '''U'''), as the sum of the weights, w('''e'''), for every ''elementary event'' contained in '''X''' divided by the sum of the weights of every element of '''U'''.

[http://netdial.caribe.net/~rabeldin/Home.html RABeldin]
³3minor³30³3newauthor³30³3summary³3*³2tscreate³2982147670³2keepts³2982410205³2id³21272³2host³2cobrand.bomis.com³2revision³210³1username³2³2name³2text_default³2version³21³2ts³2982410205³2ip³2209.66.79.109³2data³2newauthor³31³3minor³30³3text³3:ProbabilityAndStatistics
:FrequencyProbability -- PersonalProbability -- EclecticProbability
:StatisticalRegularity

(These axioms are just the most elementary way to define probabilities. Other axiom schema are used with non-discrete points.)

1) Let '''U''' be a SeT of discrete points, '''e1''','''e2''','''e3'''...,  called '''elementary events'''. We call this set, the '''universe''' or '''sample space'''.

2) Let every elementary event, '''e''' in '''U''', have a non-negative ''weight'', w('''e'''), assigned to it.

3) Let '''composite events''', Y1,Y2,Y3,... be represented by SubSet''s'' of '''U'''.

4) Define the '''probability''' of an event '''X''' (any subset of '''U'''), as the sum of the weights, w('''e'''), for every ''elementary event'' contained in '''X''' divided by the sum of the weights of every element of '''U'''.

[http://netdial.caribe.net/~rabeldin/Home.html RABeldin]
³3summary³3*³2tscreate³2982147670³2keepts³2982410266³2id³2111³2host³2cobrand.bomis.com³2revision³211³1username³2³2name³2text_default³2version³21³2ts³2982410266³2ip³2209.66.79.109³2data³2text³3:ProbabilityAndStatistics
:FrequencyProbability -- PersonalProbability -- EclecticProbability
:StatisticalRegularity

(These axioms are just the most elementary way to define probabilities. Other axiom schema are used with non-discrete points.)

#Let '''U''' be a SeT of discrete points, '''e1''','''e2''','''e3'''...,  called '''elementary events'''. We call this set, the '''universe''' or '''sample space'''.

#Let every elementary event, '''e''' in '''U''', have a non-negative ''weight'', w('''e'''), assigned to it.

#Let '''composite events''', Y1,Y2,Y3,... be represented by SubSet''s'' of '''U'''.

#Define the '''probability''' of an event '''X''' (any subset of '''U'''), as the sum of the weights, w('''e'''), for every ''elementary event'' contained in '''X''' divided by the sum of the weights of every element of '''U'''.

[http://netdial.caribe.net/~rabeldin/Home.html RABeldin]
³3minor³30³3newauthor³30³3summary³3*³2tscreate³2982147670³2keepts³2982410305³2id³2111³2host³2cobrand.bomis.com³2revision³212