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" Laplace's own words, which join the condition of equal likelihood to the fractional relationship, "the probability of an event is the ratio of the number of cases which favor it to the number of all possible cases... "
Arithmetic, algebra, differential and integral calculus, by W. Rutherford ... - الصفحة 196
بواسطة Royal Military Academy, Woolwich - 1853
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848
...days 5 hours 48 min. 49 sec. to 29 days 12 hours 44 min. 3 sec. _ ioe) ii7) „ir etC. PROBABILITIES. The probability of an event is the ratio of the number...of chances both for its happening and failing. Thus if an event happen in a ways, and fail in b ways, all being equally probable, the probability of its...

An investigation of the laws of thought, on which are founded the ...

George Boole - 1854
...the reason we have to believe that it has taken place, or that it will take place." " The measure of the probability of an event is the ratio of the number of cases favourable to that event, to the total number of cases favourable or contrary, and all equally...

A Treatise on Algebra: By Charles Smith

Charles Smith - 1888 - عدد الصفحات: 571
...times out of every a + b cases. We may therefore say, consistently with the former definition, that the probability of an event is the ratio of the number of times in which the event occurs, in the long run, to the sum of the number of times in which events...

A Drill-book in Algebra

George William Jones - 1892 - عدد الصفحات: 272
...and what has happened in the past may be expected in the future with ratios very slightly changed. The probability of an event is the ratio of the number of cases in which the event happens, favorable cases, to the whole number of cases considered. Eg, in...

Science and Hypothesis

Henri Poincaré - 1905 - عدد الصفحات: 196
...And if it can not, how dare we reason about it ? The definition, it will be said, is very simple : the probability of an event is the ratio of the number of cases favorable to this event to the total number of possible cases. A simple example will show how...

The Monist, المجلد 31

Paul Carus - 1921
...often called objective, but it is far from being objective in the sense just defined. Laplace says: "The probability of an event is the ratio of the number of cases which favor it to the number of all possible cases, when nothing leads us to believe that one...

A Brief Course in College Algebra

Walter Burton Ford - 1922 - عدد الصفحات: 264
...and other illustrations which may be readily supplied lead to the following definition. DEFINITION. The probability of an event is the ratio of the number of ways in which it can happen (all regarded as equally likely) to the total number of ways in which it...

A First Course in Higher Albegra

Helen Abbot Merrill - 1917 - عدد الصفحات: 247
...? 5. In how many ways can a baseball nine be chosen from a group of fifteen men ? 41. Probability. The probability of an event is the ratio of the number of the chances it has of happening to the sum of all the chances, both for and against. Hence the probability...

The Nature of Explanation

K. J. W. Craik - 1967 - عدد الصفحات: 136
...that we have succeeded, without ever realising what we are doing. PROBABILITY Laplace's principle that 'the probability of an event is the ratio of the number of cases which favour it to the number of all the possible cases, when nothing leads us to believe that...
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The Emergence of Probability: A Philosophical Study of Early Ideas about ...

Ian Hacking - 1984 - عدد الصفحات: 209
...[Oeuvres, vn, p. viiij. On the first page of Book u, we have, One has seen in the Introduction that the probability of an event is the ratio of the number of cases that are favourable to it, to the number of possible cases, when there is nothing to make us...
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