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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 ... - Pàgina 192
per Royal Military Academy, Woolwich - 1853
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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Volum 5

Thomas Curtis - 1829 - 809 pàgines
...be left to the judgment of the analyst; and no subject requires more his care and attention. Def. 1. The probability of an event is the ratio of the number of chances in favor of its happening, to the number of all the chances l>oth in favor of its happening and against...
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848 - 334 pàgines
...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...
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An Investigation of the Laws of Thought: On which are Founded the ...

George Boole - 1854 - 442 pàgines
...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...
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A Treatise on Algebra: By Charles Smith

Charles Smith - 1888 - 680 pàgines
...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...
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A Drill-book in Algebra

George William Jones - 1892 - 300 pàgines
...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...
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Science and Hypothesis

Henri Poincaré - 1905 - 238 pàgines
...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...
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Scientific Method: Its Philosophy and Its Practice

Frederic William Westaway - 1912 - 474 pàgines
...of every five cases. The probability of its happening is therefore f, and of its failing, f . Thus 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 the events...
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The Monist, Volum 31

Paul Carus - 1921 - 636 pàgines
...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...
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A Brief Course in College Algebra

Walter Burton Ford - 1922 - 286 pàgines
...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...
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A First Course in Higher Albegra

Helen Abbot Merrill - 1917 - 282 pàgines
...? 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...
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