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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Author:Amos Gilat
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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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