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New York, for example, had 6,000 gambling houses in the 1850s, where visitors could try their luck at games such as faro, chuck-a-luck, loo, all-fours, hearts, euchre, Boston, and whist.

His back was hurting, a culmination of working nonstop at the carnival’s Chuck-a-luck wheel, standing on concrete all week and being on his feet at work earlier in the day.

He went back to the station, sat down, cracked open a beer, and counted the Chuck-a-luck money.

An understanding of expected values is helpful in analyzing most casino games, as well as the lesser- known game of chuck-a-luck which is played at carnivals in the Midwest and England.

Expected Values: From Blood Testing to Chuck-a-Luck Coincidences or extreme values catch the eye, but average or “expected” values are generally more informative.