Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
at any given probability
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "at any given probability" is correct and usable in written English.
It can be used when discussing statistical or probabilistic concepts, indicating a specific probability at a particular moment or condition. Example: "At any given probability, the likelihood of success can vary based on external factors."
✓ Grammatically correct
Science
Alternative expressions(3)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
1 human-written examples
Given an economically efficient decision-making process a risk-averse farmer would opt for SRC if the cumulative probability curve of an SRC annuity ("F") is always below the cumulative probability curve of the corresponding crop rotation annuity ("G"), expressing that the annuity (x) for SRC is higher at any given probability level (see Fig. 3).
Human-verified similar examples from authoritative sources
Similar Expressions
58 human-written examples
This phenomenon can also be seen on the q-q plots and Manhattan plots (straight line at a given probability).
Science
In the process of constructing path, each ant explores several nodes for one step and chooses the best one by global and local evaluation at a given probability.
Therefore, a suitable geometry shape (triangle or square) maybe chosen to further enhance the overall stiffness at a given probability of survival.
Science
From the viewpoint of reliability, the modeling method of interior S N curve with the maximum defect size at a given probability is satisfactory.
She uses spoken and written data from late Middle English (LME) to Present-Day English (PDE) to investigate how the concepts of choice and choosing in relation to the textual condition may determine the appropriateness of TCs by considering their occurrence: (i) in a given context; (ii) with a given output (iii) at a given probability.
Science
At a given probability, the predicted fatigue strength is the highest by the estimated maximum inclusion size using the GEV distribution, then followed by using Gumbel distribution and by using GP distribution, and the lowest by using EXPGP distribution, which is inversely proportional to the evaluated maximum inclusion sizes.
Science
Even if Δ H is positive, the replacement occurs at a given probability.
Science
We need to consider the number of sequences required to correct an erroneous position appropriate, at a given probability, for an error rate of 1.07%.
Science
To estimate the number of replicate reactions required to achieve a particular number of successful amplifications (at a given probability), the binomial distribution is appropriate.
Science
Each progeny provides an independent sample of the wild-type genetic background, so the number of individuals (n) that must be tested to ensure detection at a given probability is (0.5) n for a dominant modifier.
Science
Expert writing Tips
Best practice
When using "at any given probability", ensure the context clearly defines what factors influence or are influenced by this probability. For example, specify the event or outcome associated with the probability.
Common error
Avoid using "at any given probability" without specifying the relevant variables or conditions. Ensure the reader understands what the probability applies to and how it affects the situation being described.
Source & Trust
81%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "at any given probability" functions as an adverbial phrase, modifying a verb or clause to specify a condition relating to probability. It sets a scope for considering various probabilistic scenarios, as confirmed by Ludwig examples.
Frequent in
Science
90%
Formal & Business
5%
Encyclopedias
3%
Less common in
News & Media
1%
Wiki
0.5%
Reference
0.5%
Ludwig's WRAP-UP
In summary, the phrase "at any given probability" is a prepositional phrase, typically used in scientific and academic contexts to condition a statement based on a level of likelihood. Ludwig AI confirms the grammatical correctness. It's important to ensure contextual clarity when using this phrase. Alternatives such as "with a certain probability" or "given a known probability" can be considered depending on the specific nuances you want to convey. The phrase appears frequently in scientific literature, underlining its formality and technical use.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
given a known probability
Stresses the condition where the probability is already established or provided.
at a set probability level
Specifies a probability that has been fixed or established in advance.
with a certain probability
Focuses on the existence of a specific, though perhaps undefined, probability.
at a determined probability
Implies that the probability has been calculated or decided upon.
under a specific probability
Emphasizes the influence or control of a particular probability level.
for a defined probability
Highlights the condition of the probability being clearly stated or known.
at each probability level
Shifts focus to consider different levels of probability.
with a pre-assigned probability
Highlights that the probability was assigned before the event or analysis.
at any specified chance
Replaces "probability" with "chance", emphasizing randomness.
given a likelihood
Substitute probability with likelihood
FAQs
How can I use "at any given probability" in a sentence?
Use "at any given probability" to refer to the likelihood of an event occurring under specific conditions. For example, "At any given probability, the risk of failure must be assessed."
What is a suitable alternative to "at any given probability"?
Consider alternatives like "with a certain probability", "given a known probability", or "at a set probability level" depending on the context.
What does "at any given probability" mean in statistical terms?
In statistics, "at any given probability" refers to the likelihood of a specific outcome occurring, which can vary depending on the conditions or variables involved.
Is there a difference between "at any given probability" and "at a given probability"?
"At any given probability" suggests considering all possible probability values within a range, while "at a given probability" refers to a specific, predetermined probability value.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
81%
Authority and reliability
4.1/5
Expert rating
Real-world application tested