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"significantly higher probability" is correct and usable in written English.
You could use it to describe a situation where the likelihood of one outcome is much greater than the likelihood of another outcome. For example, "John's financial situation gives him a significantly higher probability of achieving long-term financial security."
Exact(60)
High σ, configurations provide significantly higher probability of the PDB requirement satisfaction, however, still do not guarantee it.
Households with a higher level of education and income show a significantly higher probability of having OOPE.
We show that students who were just barely eligible for this voluntary policy had a significantly higher probability of admission and enrollment, as compared to otherwise similar students.
The row at the bottom of the table reveals that improved quality applications have a significantly higher probability of a job interview.
Therefore, even if a model predicts all ground truth tags with a significantly higher probability than other tags, we will not measure perfect precision and recall.
From our descriptions in Section 3.2, we also know that the sample of treated individuals has a significantly higher probability of a previous relationship with the firm.
We show that for both proteins the equilibrium folding unfolding transition is non-two-state, but sequential, with the outermost helices showing a significantly higher probability than inner helices of being unfolded.
Beads with both motors bound have a significantly higher probability of pausing at actin/microtubule intersections, remaining tethered for an average of 20 s, with some pauses lasting longer than 200 s.
Also, the initial pre-fetch interval is important to obtain a first approximation of P n, i (T), after which there could be a significantly higher probability of having an incorrect estimation for reactive triggering of alternative channel selection.
However, even if it is widely admitted that insolvency is the result of a long and intricated process, many papers and reports insist upon the significantly higher probability of failure of specific types of companies.
From the estimates further down in the table it is evident that applicants that have good labor market and personal characteristics have a significantly higher probability of an invitation to a job interview.
More suggestions(13)
far higher probability
dramatically higher probability
significantly higher doubt
significantly higher hazard
drastically higher probability
significantly higher opportunity
significantly higher random
significantly higher probable
significantly higher health risks
substantially higher probability
significantly larger probability
significantly greater probability
much higher probability
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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