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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.
Suppose we have 2 buckets labeled A and B. Bucket A contains 7 red balls and 2 green balls. Bucket B contains 2 red balls and 10 green balls.
a) We randomly select one ball at random from A and one ball at random from B. What is the probability that 2 red balls are selected? Answer in a fraction.
b) We randomly select one ball at random from A and one ball at random from B. What is the probability that 1 red ball and 1 green ball are selected?Answer in a fraction.
c) We select one ball at random. We are twice as likely to choose that ball fromA as we are to choose it from B. Given that is choose a green ball, what is the probability that the ball came from B? Answer in a fraction.
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