Assume that you randomly pick one of the bowls: X, Y, or Z. You then randomly draw one ball out of the selected bowl and note its color. The bowls contain the following colored balls:Bowl X: 1 red, 1 white, and 2 blue.Bowl Y: 2 red, 1 white, and 3 blue.Bowl Z: 3 red, 2 white, and 3 blue. (1) If the ball is blue, what is the probability that it was drawn from bowl X? (2) If the ball is either blue or white, what is the probability that it was drawn from bowl Y?
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.
Assume that you randomly pick one of the bowls: X, Y, or Z. You then randomly draw one ball out of the selected bowl and note its color. The bowls contain the following colored balls:
Bowl X: 1 red, 1 white, and 2 blue.
Bowl Y: 2 red, 1 white, and 3 blue.
Bowl Z: 3 red, 2 white, and 3 blue.
(1) If the ball is blue, what is the probability that it was drawn from bowl X?
(2) If the ball is either blue or white, what is the probability that it was drawn from bowl Y?
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