TASK DEFINITION: In this task, we ask you to rewrite a sentence in simple English without changing its general meaning. Essentially, you want to make the sentence easier to read by using simpler words, utilizing more straightforward sentence structures, and omitting non-essential information etc.
PROBLEM: Frequentist probability or frequentism is an interpretation of probability ; it defines an event 's probability as the limit of its relative frequency in a large number of trials .

SOLUTION: Frequency probability or Frequentism is one of the interpretations of probability theory .

PROBLEM: During winter , the lake becomes well mixed , and recent research indicates that during this phase of the colour cycle , the lake is somewhat murkier due to the redistribution of tannins and calcium carbonate particles throughout the lake .

SOLUTION: During winter the lake water becomes well mixed , and the lake water is less clear because of tannins and calcium carbonate particles .

PROBLEM: In ancient Athenian democracy , sortition was the traditional and primary method for appointing political officials , and its use was regarded as a principal characteristic of democracy .

SOLUTION:
In the democracy of Athens in Ancient Greece sortition was the main method for appointing officials .