 Instead it declared in a more formalist way, that 'probability is the ratio of the number of favourable cases to the total number of equally likely cases'.  A Treatise on Probability - 23. lappuseautors: John Maynard Keynes - 2006 - 484 lapasIerobežota priekšskatīšana - Par šo grāmatu
 | William Cudmore McCullagh Lewis - 1919 - 232 lapas
...therefore from mathematical probability in that the latter is always a fractional quantity, ie it denotes the ratio of the number of favourable cases to the total number of possible cases. Thermodynamic probability is proportional to but is not identical with mathematical... | |
 | Max Black - 1964 - 478 lapas
...solely on the meanings of the propositions concerned. Whereas Laplace took as a measure of probability the ratio of the number of ' favourable cases ' to the total number of ' cases ', Wittgenstein substitutes the notion of the relative size of 'ranges' (see discussion under 4.463(1)).... | |
 | John Leslie Mackie - 1973 - 322 lapas
...uses of this end of the informal concept. The 'classical' definition of the probability of an event as the ratio of the number of favourable cases to the total number of cases is, as it stands, incomplete and indeterminate. What cases? If a card is drawn at random from a standard... | |
 | K. D. Joshi - 1989 - 768 lapas
...problems can be paraphrased as problems in probability because of the definition of probability as the ratio of the number of favourable' cases to the total number of cases, assuming the latter are all equally likely. Of course, this simple-minded definition presupposes that... | |
 | Francis Ysidro Edgeworth - 1994 - 484 lapas
...and this much seems to be given by experience. 9. Whenever we can justify Laplace's first principle" that "probability is the ratio of the number of favourable cases to the number of all possible cases" no additional difficulty is involved in his second principle, of which... | |
 | Adelchi Azzalini - 1996 - 356 lapas
...!>{/< = I, - N, I r{/, -/,-!} M) for i, j - 1, . . . , n (i ^ j), leading to Replacing the ratio M/N of the number of favourable cases to the total number of cases by p in (A. 20), we obtain expressions similar to (A. 18), except for the final factor of the variance,... | |
 | Matti Sintonen - 1997 - 396 lapas
...is, as a theory of probability, somewhat incomplete.46 The classical definition of probability says that probability is the ratio of the number of favourable cases to the number of all equipossible cases. Transformed into the world of Tractatus 'the number of all equipossible... | |
 | Florence Nightingale David - 1998 - 324 lapas
...fundamental probability set, and to notice that if all the elements of this set are of equal weight, then the ratio of the number of favourable cases to the total number of cases gives a result in accordance with experience. The crucial chapter " On the cast of one die " in Gould's... | |
 | Andrew I. Dale - 1999 - 714 lapas
...first stated" (that first principle, in turn, being nothing more than the giving of a probability as the ratio of the number of favourable cases to the total number of cases when all events are equally probable). Francis Ysidro Edgeworth [1911, §13, Note 10] referred to J.... | |
 | K.D. Joshi - 2004 - 992 lapas
...sample space S) is simply the ratio |^| . This is the classic definition of probability of an event as the ratio of the number of favourable cases to the total number of cases. Using this correspondence, elementary results about cardinalities of subsets of a space can be translated... | |
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