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The phrase "a third probability" is correct and usable in written English.
It can be used when discussing multiple probabilities or chances in a statistical or analytical context.
Example: "In this experiment, we found that there is a third probability that the outcome could be influenced by external factors."
Alternatives: "one in three chances" or "a one-third likelihood".
Exact(1)
Roubini: I would certainly think that the probability that over the next five years some of the weaker members might decide to exit is rising, probably more than a third probability.
Similar(59)
A second probability, the probability of transcriptional response (P(Δ E)), to a change in growth condition was estimated, e.g. YPD to heat shock.
In addition, if a particular class contains a prosthesis that represents more than 25% of the group, a second probability analysis is performed in stage 1.
Thus for example, SEQUEST uses the delta-score, and Inspect uses a second probability generated by applying a statistical discrimination function against features like MQscore and others.
Elsewhere Vodafone rose 4.8p to 230.85p after Berenberg analyst Paul Marsch moved from hold to buy and raised his target price from 236p to 265p to reflect a two-thirds probability of a bid from US group AT&T in 2014.
For one thing, I would guess, the intrinsic merits of individualism; for another, a universe in which everything is relative yet in which moral absolutes exist; for a third, the probability that this paradox can be resolved only if we accept the postulate of a presiding deity.
Treatment B had a one-third probably of saving everyone but a two-thirds probability that everyone would die.
Meanwhile, the government reported that productivity gains slowed, with an increase in the final quarter of 2006 of about half of what economists had previously expected.Alan Greenspan, former chairman of the Federal Reserve, said there is a "one-third probability" of an American recession this year.
Informed that if Program A were adopted, 400 people would die, while Program B carried a one-third probability that no one would die and a two-thirds probability that 600 people would die, most subjects chose the less-certain alternative.
If program D is adopted, there is a one-third probability that nobody will die and a two-thirds probability that 600 people will die.
Offer 2A: There is a one-third probability that you win six leagues, and a two-thirds probability that you win no leagues.
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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