 | Thomas Curtis - 1829 - 809 pages
...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... | |
 | John Bonnycastle - 1848 - 334 pages
...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... | |
 | George Boole - 1854 - 442 pages
...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... | |
 | Charles Smith - 1888 - 680 pages
...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... | |
 | George William Jones - 1892 - 300 pages
...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... | |
 | Henri Poincaré - 1905 - 238 pages
...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... | |
 | Frederic William Westaway - 1912 - 474 pages
...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... | |
 | Paul Carus - 1921 - 636 pages
...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... | |
 | Walter Burton Ford - 1922 - 286 pages
...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... | |
 | Helen Abbot Merrill - 1917 - 282 pages
...? 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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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... 
