Tree diagram (probability theory)

From formulasearchengine
Revision as of 17:46, 2 February 2014 by en>Mogism (Cleanup/Typo fixing, typo(s) fixed: condtional → conditional using AWB)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Template:Probability fundamentals

Tree diagram for events and .

Template:Notability In probability theory, a tree diagram may be used to represent a probability space.

Tree diagrams 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 probability of that event. The root node represents the certain event and therefore has probability 1. Each set of sibling nodes represents an exclusive and exhaustive partition of the parent event.

The probability associated with a node is the chance of that event occurring after the parent event occurs. The probability that the series of events leading to a particular node will occur is equal to the product of that node and its parents' probabilities.

References

Template:Commonscat {{ safesubst:#invoke:Unsubst||$N=Unreferenced |date=__DATE__ |$B= {{#invoke:Message box|ambox}} }}

Template:Probability-stub

ko:수형도