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The phrase "a much higher likelihood" is correct and usable in written English.
It can be used when discussing the probability or chance of an event occurring compared to another event.
Example: "There is a much higher likelihood of rain tomorrow than there was today."
Alternatives: "a significantly greater chance" or "a considerably higher probability."
Exact(44)
Infants whose mothers die or cannot care for them have a much higher likelihood of dying as well.
This approach has a much higher likelihood of working out in your favor because it's understood that you wouldn't have been introduced (i.e. "been recommended") to that person if you weren't qualified.
"There's a realization, having looked at the past few elections, that the party that motivates their base -- that makes their base emotional and turn out -- has a much higher likelihood of success on Election Day," Matthew Dowd, a senior adviser to Mr. Bush's re-election campaign, said in an interview.
Mr. Romney faces a classic dilemma in presidential politics: Going negative is never an appealing option, but the alternative amounts to unilateral disarmament and a much higher likelihood of defeat, especially against a rival like Mr. Gingrich who has little to lose.
Retargeting lets businesses reach potential customers who've shown purchase intent and have a much higher likelihood of conversion.
Programs would unbundle into competency-based components with a much higher likelihood of completion, and completion rates would soar.
Similar(16)
Following this rule means missing the chance of finding a gem, but also avoids the much higher likelihood of investing in a loser.
Up to 50% of male osteoporotics have no identifiable etiology; however elderly males have much higher likelihood of having an identifiable secondary cause than younger men.
Dr. Gooberman maintains that seven deaths out of 2,300 patients treated is not an unusual postoperative mortality rate, particularly when compared with the much higher likelihood of death for unchecked heroin users.
The most striking was the much higher likelihood of younger injured children having been on a lap when going down the slide and having suffered a lower extremity injury, in particular, a lower leg/ankle fracture.
This is due to the much higher likelihood of the extended integrin conformations, as compared to the bent conformations, to bind the adhesive ligands.
More suggestions(17)
a distinctly higher likelihood
a much higher risk
a much higher prospect
a significantly higher likelihood
a much larger likelihood
a much higher rate
a substantially higher likelihood
a considerably higher likelihood
a much higher potential
a much greater likelihood
a much higher chances
a much higher probabilities
a much higher resolution
a much higher value
a much higher percentage
a much higher scrutiny
a much smaller likelihood
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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