dice (v.)youdaoicibaDictYouDict[dice 词源字典]
"to cut into cubes," late 14c., from dice (n.). Meaning "to play at dice" is from early 15c. Related: Diced; dicing.[dice etymology, dice origin, 英语词源]
prejudice (v.)youdaoicibaDictYouDict
mid-15c., "to injure or be detrimental to," from prejudice (n.). The meaning "to affect or fill with prejudice" is from c. 1600. Related: Prejudiced; prejudicing.
shake (n.)youdaoicibaDictYouDict
late 14c., "charge, onrush," from shake (v.). Meaning "a hard shock" is from 1560s. From 1580s as "act of shaking;" 1660s as "irregular vibration." The hand-grip salutation so called by 1712. As a figure of instantaneous action, it is recorded from 1816. Phrase fair shake "honest deal" is attested from 1830, American English (Bartlett calls it "A New England vulgarism"). The shakes "nervous agitation" is from 1620s. Short for milk shake from 1911. Dismissive phrase no great shakes (1816, Byron) perhaps is from dicing.
six (n.)youdaoicibaDictYouDict
Old English siex, six, sex, from Proto-Germanic *sekhs (cognates: Old Saxon and Danish seks, Old Norse, Swedish, and Old Frisian sex, Middle Dutch sesse, Dutch zes, Old High German sehs, German sechs, Gothic saihs), from PIE *s(w)eks (cognates: Sanskrit sas, Avestan kshvash, Persian shash, Greek hex, Latin sex, Old Church Slavonic sesti, Polish sześć, Russian shesti, Lithuanian szeszi, Old Irish se, Welsh chwech).

Six-shooter, usually a revolver with six chambers, is first attested 1844; six-pack of beverage containers is from 1952, of abdominal muscles by 1995. Six of one and half-a-dozen of the other "little difference" is recorded from 1833. Six-figure in reference to hundreds of thousands (of dollars, etc.) is from 1840. Six feet under "dead" is from 1942.

Phrase at sixes and sevens originally was "hazarding all one's chances," first in Chaucer, perhaps from dicing (the original form was on six and seven); it could be a corruption of on cinque and sice, using the French names (which were common in Middle English) for the highest numbers on the dice. Meaning "at odds, in disagreement or confusion" is from 1785, perhaps via a notion of "left unsettled."