In a popular casino​ game, you can bet one whether a ball will fall in an arc on a wheel colored​ red, black, or green. Say the probability of a red outcome is StartFraction 18 Over 37 EndFraction1837​, that of a black outcome is StartFraction 18 Over 37 EndFraction1837​, and that of a green outcome is StartFraction 1 Over 37 EndFraction137. Suppose someone makes a ​$22 bet on blackblack. Find the expected net winnings for this single bet. Interpret the result. Choose the correct answer below and fill in the answer box to complete your choice. ​(Round to three decimal places as​ needed.)   A. If the ​$22 bet on blackblack was placed a very large number of​ times, the average winnings would be ____________ dollars per bet.   B. On​ average, a person is expected to win ___________ dollars for any bet on the roulette wheel.   C. If the ​$22 bet on blackblack was placed a very large number of​ times, the bettor would win a total of ____________ dollars.   D. A person will win ___________ dollars every time a ​$22 bet was placed on blackblack.

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A:

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A:

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.