Although there may be ties among the expected utilities — all infinite — for believing in various ones among them, their respective probabilities can be used as tie-breakers.
The cache partitions are both equal to 50 and the respective probabilities of each active user requesting private and public data are P1 and P2 i.e. a generated data request either specifies personal user or publicly available content, which means P1 + P2 = 1. Figure 9 shows the setup involving data requests going to separately allocated cache spaces.
Professor Kimmel scribbled on the blackboard all the relevant rules, how the chance of two such events occurring is the product of their respective probabilities, and in the end Nash made both shots 81 percent of the time.
Modeling potential domino scenarios in process plants includes the prediction of the most probable sequence of events and the calculation of respective probabilities, so-called escalation probabilities, so that appropriate prevention and mitigation safety measures can be devised.
Choices are influenced by expected gains the economist's "expected value" (EV), i.e., the summed values of potential outcomes weighted by their respective probabilities.
The following year, the firm might again undertake the same project, but in this example, the respective probabilities for the payoffs change to 25, 40, and 35 percent.
Weighting these two marginal returns by their respective probabilities leads to E[R′(r)].
Given two sets of events and, with respective probabilities and, their MI is given by (4).
Various choices are considered for n=n(x 1)=⋯=n(x m ) and for δ, the squared absolute error in the respective probabilities when using Euclidean distance and the relative error in the respective probabilities when using KL distance.
In the model, growth and branching processes are driven by the respective probabilities of activity, rest or death of apical and lateral buds.
Thus, according to Shanon's entropy measure, the average information of a set of events with respective probabilities is given by (3).
