Roulette is a game of chance that involves spinning a wheel that is divided into equal segments. A metal ball is tossed into the wheel as it is spinning, and the ball eventually lands in one of the segments. Each segment has an associated color. Two segments are green. Half of the other segments are red and the others are black. When a balanced roulette wheel is spun, the ball is equally likely to land in any one of the segments. a. When a balanced roulette wheel is spun, what is the probability that the ball lands in a red segment? b. In the roulette wheel shown, black and red segments alternate. Suppose instead that the red segments were side-by-side and that the black segments were together. Does this increase the probability that the ball will land in a red segment? Explain. c. Suppose that you watch spins of a roulette wheel and note the color that results from each spin. What would be an indication that the wheel was not balanced?
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.
Roulette is a game of chance that involves spinning a wheel that is divided
into equal segments.
A metal ball is tossed into the wheel as it is spinning, and the ball eventually
lands in one of the segments. Each segment has an associated color. Two
segments are green. Half of the other segments are red and the others are
black. When a balanced roulette wheel is spun, the ball is equally likely to land
in any one of the segments.
a. When a balanced roulette wheel is spun, what is the probability that the
ball lands in a red segment?
b. In the roulette wheel shown, black and red segments alternate. Suppose
instead that the red segments were side-by-side and that the black
segments were together. Does this increase the probability that the ball
will land in a red segment? Explain.
c. Suppose that you watch spins of a roulette wheel and note the
color that results from each spin. What would be an indication that the
wheel was not balanced?
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