An unfair coin with Pr[H]=0.6 is flipped. If the flip results in a head, a marble is selected at random from an urn containing six red and four blue marbles. Otherwise, a marble is selected from a different urn containing one red and seven blue marbles. If the selected marble is red, what is the probability that the flip resulted in a head?
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.
An unfair coin with Pr[H]=0.6 is flipped. If the flip results in a head, a marble is selected at random from an urn containing six red and four blue marbles. Otherwise, a marble is selected from a different urn containing one red and seven blue marbles.
If the selected marble is red, what is the
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