probability with which

USAGE SUMMARY

The phrase "probability with which" is correct and usable in written English.
It can be used when discussing the likelihood or chance of an event occurring in relation to another event or condition. Example: "The probability with which it will rain tomorrow depends on the current weather patterns."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Each application has a calibration job fraction: the probability with which calibration jobs are assigned.

University of California, Berkeley

The value of a game is the maximal probability with which a player can guarantee the satisfaction of her objective.

University of California, Berkeley

We modelled a barrier effect independently from road mortality by varying the probability with which individuals avoid crossing roads.

Ecological Modelling

What's going to change is not the Q but the P, the probability with which you're audited is going to change in this model.

Yale University

Under multilevel designs, the power or probability with which a design can detect an effect is proportional to the degree of clustering among students within schools.

Studies in Educational Evaluation

This work typically brings a quantitative dimension to the description of languages by including information on the probability with which linguistic items or processes occur in particular contexts.

International Encyclopedia of the Social & Behavioral Sciences

The value of the game for a player at a state s given an objective Phi is the maximal probability with which the player can guarantee the satisfaction of Phi from s.

University of California, Berkeley

So to find the probability with which taxpayers pay their taxes and let me already start getting ahead of myself and just say to find the proportion of taxpayers who are going to pay their taxes what do we do?

Yale University

I find that this lower investment is attributable to the fact that the prior probability with which an investor in the disclosure regime believes that a manager is trustworthy is significantly lower than the prior probability with which an investor in the no-disclosure regime believes that a manager is trustworthy.

Journal of Economic Behavior & Organization

By incorporating this uncertainty, a method is presented that allows estimation of the probability with which a particular CAD system performs better than another on unseen data in a clinical setting.

Academic Radiology

We compared the probability with which nine parrot species use old-growth and secondary forests in a ∼400 km2 Amazonian landscape, while considering two types of habitat use: perching and flyover use.

Biological Conservation

Expert writing Tips

Best practice

When using "probability with which", ensure the context clearly establishes the relationship or condition affecting the likelihood of the event. Clarity is key in quantitative discussions.

Common error

Avoid assuming that because an event correlates with another, it causes it. "Probability with which" indicates correlation, not necessarily causation; make sure your analysis reflects this distinction.

Linguistic Context

The phrase "probability with which" functions as a prepositional phrase specifying a conditional probability. Ludwig AI confirms its usability and indicates a focus on likelihood in relation to specific conditions or events, aligning with the examples provided.

Expression frequency: Very common

Frequent in

Science

60%

Academia

25%

News & Media

15%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "probability with which" is a grammatically sound prepositional phrase used to express conditional probability, particularly in formal contexts like science and academia. Ludwig AI confirms its accurate and frequent use for quantifying the likelihood of events under specific conditions. While alternatives like "likelihood that" and "chance that" exist, "probability with which" offers precision when establishing relationships between events. When writing, ensure clarity in defining the influencing conditions to avoid misinterpretations.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

likelihood with which

Combines "likelihood" with the original structure, offering a slight variation in wording.

likelihood that

Changes the structure to focus on the likelihood of an event happening, rather than the probability in relation to something else.

chance that

Replaces "probability" with "chance", offering a more informal alternative.

odds that

Uses "odds" to indicate the likelihood of an event, often used in statistical contexts.

extent to which

Shifts the focus to the degree or measure of something, implying probability through the level of impact.

degree to which

Similar to "extent to which", this phrase emphasizes the level or intensity of an effect or influence.

frequency with which

Highlights how often something occurs, suggesting probability through repetition.

rate at which

Focuses on the speed or pace of an event, which can imply the likelihood of its occurrence over time.

propensity for

Indicates a natural inclination or tendency, suggesting a probability of a particular behavior or outcome.

tendency to

Similar to "propensity for", this phrase implies a leaning or predisposition towards a certain action or result.

FAQs

How can I use "probability with which" in a sentence?

Use "probability with which" to describe the likelihood of an event occurring in relation to another event or condition. For example: "The probability with which the treatment succeeds depends on the patient's adherence to the prescribed regimen."

What are some alternatives to "probability with which"?

You can use alternatives like "likelihood that", "chance that", or "odds that" depending on the context.

Is there a difference between "probability with which" and "likelihood of"?

While both phrases relate to the chance of an event occurring, "probability with which" often implies a conditional relationship, while "likelihood of" generally refers to the general chance of something happening. The "likelihood of" rain tomorrow simply states the chance of rain, whereas "the probability with which it rains depends on cloud cover" links the probability to a condition.

Can "probability with which" be used in formal writing?

Yes, "probability with which" is suitable for formal writing, especially in academic and scientific contexts where precise language is valued. It's commonly found in research papers and technical reports.