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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; In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, ...
Then the unconditional probability that = is 3/6 = 1/2 (since there are six possible rolls of the dice, of which three are even), whereas the probability that = conditional on = is 1/3 (since there are three possible prime number rolls—2, 3, and 5—of which one is even).
The conditional probability at any interior node is the average of the conditional probabilities of its children. The latter property is important because it implies that any interior node whose conditional probability is less than 1 has at least one child whose conditional probability is less than 1.
The statement "The probability that if , then , is 20%" means (put intuitively) that event may be expected to occur in 20% of the outcomes where event occurs. The standard formal expression of this is () =, where the conditional probability equals, by definition, () / ().
The conditional probability distributions of each variable given its parents in G are assessed. In many cases, in particular in the case where the variables are discrete, if the joint distribution of X is the product of these conditional distributions, then X is a Bayesian network with respect to G .
A decision tree is a decision support recursive partitioning structure that uses a tree-like model of decisions and their possible consequences, including chance event outcomes, resource costs, and utility. It is one way to display an algorithm that only contains conditional control statements.
English: Tree diagram for the probabilities of events A and B. Date: 6 October 2012, 22:13:38: Source: ... Conditional probability; Tree diagram (probability theory)