Description
Multiply weight and conditional, both fractions within zero through one, into jointContribution.
Event probabilities and probability masses lie between zero and one. Marginals, intersections, conditioning events, and endpoint atoms describe different quantities. A probability bound or local consistency check can constrain a model without specifying its complete distribution or dependence structure.
Multiply weight and conditional, both fractions within zero through one, into jointContribution.
When to use this tool
Use Conditional Probability Mixture One Component when you need the stated event identity, boundary policy, distribution component, or local feasibility check.
How to use the tool and how it works
- Enter weight, conditional. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read jointContribution. Use the output convention below.
Multiply weight and conditional, both fractions within zero through one, into jointContribution.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| weight | Supplied nonnegative component weight under the stated model. | Required. Finite number; minimum 0; maximum 1. |
| conditional | Conditional | Required. Finite number; minimum 0; maximum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| jointContribution | Joint Contribution | Required. Finite number. |
{
"input": {
"weight": 0.25,
"conditional": 0.8
},
"output": {
"jointContribution": 0.2
}
}Limitations and assumptions
- This is one component's weighted conditional probability. The tool does not check a complete mixture, that weights sum to one, or whether component events overlap.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Use a full probability table or distribution when a local mass, bound, or identity is insufficient. Specify dependence, conditioning, support order, and endpoint policy before combining terms.
References
Similar or alternative tools
- Conditional Probability Zero Case Label
A positive condition returns conditional=jointProbability/conditionProbability, defined=true, and label=defined; zero condition returns conditional=0, defined=false, and label=undefined-zero-condition.
- Atom Probability Lower Slack
For probability and suppliedLowerBound within zero through one return slack=probability-suppliedLowerBound and feasible=(probability>=suppliedLowerBound).