The American roulette wheel consists of 38 equal sections occupied by the numbers 1 through 36, plus a 0 and a 00 (see figure below). 18 numbers are colored black, 18 numbers are colored red, and 0 and 00 are colored green. The dealer spins the wheel, then throws a ball into the spinning wheel. (A) Suppose a $1 bet on red will return $2 to the player (the net win is only $1 because $1 has been given to the dealer before the play) if the ball lands on a red number, what is the player’s expected winnings of the game? (B) Suppose a $1 bet on the number 22 will return to the player $36 if the ball lands on the number 22, what is the player’s expected winnings of the game?
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.
The American roulette wheel consists of 38 equal sections occupied by the numbers 1 through 36, plus a 0 and a 00 (see figure below). 18 numbers are colored black, 18 numbers are colored red, and 0 and 00 are colored green. The dealer spins the wheel, then throws a ball into the spinning wheel.
(A) Suppose a $1 bet on red will return $2 to the player (the net win is only $1 because $1 has been given to the dealer before the play) if the ball lands on a red number, what is the player’s expected winnings of the game?
(B) Suppose a $1 bet on the number 22 will return to the player $36 if the ball lands on the number 22, what is the player’s expected winnings of the game?
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