Elements of Logick: Or, a Summary of the General Principles And Different ...
Elements of Logick: Or, a Summary of the General Principles And Different ...
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Hence ^e general rule 9* - Digitized by CjOOQIC 102 CALCULATION OF CHANCES is^ that the probability or improhahilUy of anf event is^ as the number of the favourable chances, divided by the sum of all the chances^ both fa- wu^^hh and unfavourable.
138. The degree of probability^ that any eyent will or will not happen^ is convepie^ntly expressed by a fraction^ whose numerator. rep- resents the number of chances^ which favour the existence^ or the nonexistence of the event ; ^aiul whose denominato...r is the sum of all the chances^ both favourable and adverse to the event. • Thus^ if an event have five chances to happen and three to fail^ the fraction -|* will ex- press the probability of its happening^ and the fraction |^, that of its failure. These two frac- tions^ which represent all the chances both of happening and failing, being added together^ their sum will always be equal to unity ; since the sum of their numerators will be just equal to their common denominator. And as in every case it is certain^ that an event will either hap- pen or.fail^ it follows^ that certainty is justly represented by unity.
What to read after Elements of Logick: Or, a Summary of the General Principles And Different ...?
You can find similar books in the "Read Also" column, or choose other free books by Levi Hedge to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Hence ^e general rule 9* - Digitized by CjOOQIC 102 CALCULATION OF CHANCES is^ that the probability or improhahilUy of anf event is^ as the number of the favourable chances, divided by the sum of all the chances^ both fa- wu^^hh and unfavourable.
138. The degree of probability^ that any eyent will or will not happen^ is convepie^ntly expressed by a fraction^ whose numerator. rep- resents the number of chances^ which favour the existence^ or the nonexistence of the event ; ^aiul whose denominato...r is the sum of all the chances^ both favourable and adverse to the event. • Thus^ if an event have five chances to happen and three to fail^ the fraction -|* will ex- press the probability of its happening^ and the fraction |^, that of its failure. These two frac- tions^ which represent all the chances both of happening and failing, being added together^ their sum will always be equal to unity ; since the sum of their numerators will be just equal to their common denominator. And as in every case it is certain^ that an event will either hap- pen or.fail^ it follows^ that certainty is justly represented by unity.
What to read after Elements of Logick: Or, a Summary of the General Principles And Different ...?
You can find similar books in the "Read Also" column, or choose other free books by Levi Hedge to read onlineMoreLess
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