Probability tree diagram examples.
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What a probability tree diagram is.
A probability tree diagram shows events in the order they happen. Each branch is one possible result, with its probability written on it, and each route from the first event to a final outcome is a complete path.
Use it for independent or conditional events. Multiply the probabilities along a path to find that outcome's probability, then add paths when more than one route gives the event you need.
- Standard
- Howard-Raiffa / CART-sklearn / taxonomy
- Engine
- schematex-decisiontree
- Editable
- Double-click text, drag nodes
- Export
- SVG · PNG · PDF
Who uses probability tree diagrams.
Coin, card, and die questions that make the multiplication rule visible before the calculation starts.
Inspection outcomes, including detected defects, missed defects, and false rejects.
Conditional scenarios where a later action depends on an earlier event or forecast.
How to make a probability tree diagram in three steps.
Describe it
One paragraph is enough to start.
See the drawing
Drawn by the right engine.
Say what changes
Every edit keeps a version.
Common questions
What is a probability tree diagram?
A branching diagram for sequential random events. It shows each possible outcome and the probability of taking each branch.
How do I calculate a probability from a tree?
Multiply the probabilities along a completed path. If several paths satisfy the event, add their completed-path probabilities.
Can it show dependent events?
Yes. Put the conditional probability for the later event on the branch that leads to it.
What is the difference between independent and dependent events?
Independent events do not change one another's probabilities. In dependent events, an earlier result changes the later probabilities.
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