Bag 1 contains 8 gray rocks and 5 black rocks, and Bag 2 contains 9 gray rocks and 4 black rocks. Suppose we flip a fair coin. If the result is heads, we randomly select a rock from Bag 1; if the result is tails, we randomly select a rock from Bag 2. Suppose that a gray rock was selected. What is the probability that the rock came from Bag 1?
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.
Bag 1 contains 8 gray rocks and 5 black rocks, and Bag 2 contains 9 gray rocks and 4 black rocks. Suppose we flip a fair coin. If the result is heads, we randomly select a rock from Bag 1; if the result is tails, we randomly select a rock from Bag 2.
Suppose that a gray rock was selected. What is the
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