Sentence examples for probability understood from inspiring English sources

The second category of modern interpretations of probability is related to medieval probability understood as a specific amount of confidence in the truth of a proposition.

The key characteristic of Bayesian statistics flows directly from the epistemic interpretation: under this interpretation it becomes possible to assign probability to a statistical hypothesis and to relate this probability, understood as an expression of how strongly we believe the hypothesis, to the probabilities of events.

It might be, for instance, that some probabilistic version of abduction does much better, at least in our world, than Bayes' rule, in that, on average, it approaches the truth faster in the sense that it is faster in assigning a high probability (understood as probability above a certain threshold value) to the true hypothesis.

Another application of expected utility theory, discussed in (Greaves 2013) is the evaluation of probabilities themselves where these probabilities are understood as individual degrees of belief.

Benchmarks: Determines probability using mathematical/theoretical models; Determines probability using simulations or experiments; Understands how predictions are based on data and probabilities; Understands the relationship between the numerical expression of a probability Mathematics Standard 9- Understands the general nature and uses of mathematics.

In doing so, the event in the classical probability theory is understood as an exactly defined phenomenon and from a mathematical point of view (as mentioned above) it is a classical set.

Hence, all subsequently calculated probabilities should be understood within this timeframe, i.e. they represent the probability for at least one event occurring within the next month.

How are these probabilities to be understood?

Most proponents of probabilistic theories of causation have understood probabilities in one of these two ways.

Note that, to make the notation simple, we will drop the superscript x from the these parameters, but, whenever we refer to these action probabilities, it is understood implicitly that they are specific to each TF species.

The probabilities of the regression can be understood as the probability of one state of the dependent variable as they are constrained to fall in the range of values from 0 to 1 (Xu et al. 2013) with zero indicating a 0%% probability of landslide occurrences and one indicating a 100%% probability (Dai et al. 2004).