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In probability theory, a tree diagram may be used to represent a probability space. A tree diagram may represent a series of independent events (such as a set of coin flips) or conditional probabilities (such as drawing cards from a deck, without replacing the cards). [1] Each node on the diagram represents an event and is associated with the ...
Tree diagram (probability theory), a diagram to represent a probability space in probability theory; Decision tree, a decision support tool that uses a tree-like graph or model of decisions and their possible consequences; Event tree, inductive analytical diagram in which an event is analyzed using Boolean logic; Game tree, a tree diagram used ...
These five trees are each assigned probability 1/5 by the uniform distribution (top). The distribution generated by random insertion orderings (bottom) assigns the center tree probability 1/3, because two of the six possible insertion orderings generate the same tree; the other four trees have probability 1/6.
The maximum number of children of any vertex, i.e., degree, in the tree is, with high probability, (()) . [2] The expected distance of the k {\displaystyle k} th vertex from the root is the k {\displaystyle k} th harmonic number , from which it follows by linearity of expectation that the sum of all root-to-vertex path lengths is, with high ...
English: Tree diagram for the probabilities of events A and B. Date: 6 October 2012, 22:13:38: Source: Own work: ... Tree diagram (probability theory) Global file usage.
Tree diagram; In probability theory, a probability space or a probability triple ... Initially the probabilities are ascribed to some "generator" sets (see the ...
In mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability distribution, or by a random process which generates them. [1] [2] The theory of random graphs lies at the intersection between graph theory and probability theory.
In computer science, an optimal binary search tree (Optimal BST), sometimes called a weight-balanced binary tree, [1] is a binary search tree which provides the smallest possible search time (or expected search time) for a given sequence of accesses (or access probabilities). Optimal BSTs are generally divided into two types: static and dynamic.