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The phrase "a much larger probability" is correct and usable in written English.
It can be used when comparing the likelihood of two or more events, indicating that one event has a significantly higher chance of occurring than another.
Example: "Given the current data, there is a much larger probability that the project will succeed if we secure additional funding."
Alternatives: "a significantly higher likelihood" or "a considerably greater chance".
Exact(7)
In other words, each entry is still i.i.d., yet with a much larger probability for 1.
Ancestral unpreferred sites have a much larger probability of undergoing up changes in multiple lineages than under equilibrium (Figure 4; Table 1); for MCU = 0.9, over 30% of ECC_uppppp observations reflect multiply-hit codons.
Furthermore, generation of random sequences (TTS and no-TTS) showed that no-TTS random sequences have a much larger probability to be transcription factor binding sites than TTS random sequences.
17, 18 Ideally, thresholds of HbA1c for retinopathy are determined in a way that subjects with HbA1c levels above the threshold have a much larger probability of having or developing retinopathy, and subjects with HbA1c levels below the threshold have a much lower probability of having or getting this microvascular complication.
For example, when the significance level is 0.001 the chance that these four genes are deemed to be statistically related to the disease status by the score test is less than 5%; relatively, the LRT has a much larger probability than the score test.
As we can see in Figure 3, every single distribution shown in the figure has a much larger probability mass in the right-half plane, which clearly demonstrates that the proposed message-passing scheme consistently outperforms the pair-HMM-based approach for most (though not all) sequence pairs.
Similar(52)
The first symbol 0 and the last symbol 7 have a much larger detection probability, since their decision interval (∇0,∇7) is large.
Thus, a 1.0 shift in logits from 0 to 1 is a much larger change in probability than the 1.0 shift from 1 to 2 logits.
For example, the model predicts a much larger increase in the probability that households will spend in the diesel market relative to the petrol market as income increases.
At small effective population sizes, demographic and environmental stochasticity will have a much larger impact on extinction probabilities than genetic variation (Willi and Hoffmann 2008).
A re-assessment of the wave of advance model using a much larger data set and calculating the probability of various hypothetical centers of agricultural origin provided further support for the observed clinal pattern [7].
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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