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The phrase "analysis of the chances" is correct and usable in written English.
It can be used when discussing the evaluation or assessment of probabilities or possibilities in a given situation.
Example: "The analysis of the chances of success for this project will help us make informed decisions moving forward."
Alternatives: "evaluation of the probabilities" or "assessment of the likelihoods".
Exact(3)
When 3,000 philosophers get together in one place, you might expect them to focus on some of the hotter philosophical issues of the day: Bush versus Gore as seen through the eyes of Kant; a post-empiricist critique of the validity of counting dimpled chads; an Aristotelian analysis of the chances of a recession.
Since the discrimination of the high/low grade MDS is an important issue in the prognosis and the analysis of the chances of survival for the patient, our proposed GVL score gives an analytical criterion for the analysis using SNP arrays.
An overview of the current fermentation technology used to produce specialized metabolites and a detailed analysis of the chances for genetically improving the producing microbes in the postgenomics era are following.
Similar(57)
Pre-mission analysis suggested the chances of a successful landing on a roughly spherical body were 70-75%.
According to Wing Commander Charles Reep – the father of stat-based "match analysis" – the chances of them scoring more than one in their next game, against Everton tomorrow, are infinitesimal.
The results of our research demonstrate that a first (and only) test bite may be masking slightest distortions that, at the time of the comparative analysis, may increase the chances of producing false positives or false negatives.
The cannabis industry is behind in that it is only building these tools now, but this sort of analysis has the chance to become part of the foundation of the business nationwide.
Recently, there was another research team using a thorough statistical analysis based on the chances of random matching to a protein to reduce this list to a set of 889 proteins that can be considered identified at a confidence level of at least 95% [18]
Our quantificational analysis showed that the chances of inheriting the C-cytoophidia is similar between the Smooth cell and the Rough cell (49.4% vs. 50.6%, n = 178).
We are nevertheless convinced that the assigned sire is the actual father of this infant because (1) more than 98% of potential sires in the population, including all potential sires in group V, have been included in the analysis, greatly decreasing the chances of misassignment due to unsampled sires, and (2) all other sampled potential sires were excluded at three or more loci.
Loss to follow-up and attrition bias are among the most problematic aspects to deal with because although most of the times the cause is 'natural' in palliative care (i.e. death), a high level of attrition jeopardises the study's ability to produce enough data to conduct a powered analysis (which increases the chances of not detecting a significant difference when there is one).
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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