An unfair coin with Pr[H] =0.3 is flipped. If the flip results in a head, a marble is selected at random from a urn containing three red and seven blue marbles. Otherwise, a marble is selected from a different urn containing five red and three blue marbles find the probability that a blue marble is selected.
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] =0.3 is flipped. If the flip results in a head, a marble is selected at random from a urn containing three red and seven blue marbles. Otherwise, a marble is selected from a different urn containing five red and three blue marbles
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