| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| |