ere are two boxes of marbles. Box I has 4 blue marbles and 6 green marbles; box II has 10 blue marbles and 5 green marbles. John flips a coin twice. If the head come up twice, he will randomly choose a marble from box I. Otherwise, he will randomly choose a marble from box II. (a) What is the probability that John chooses a blue marble? (b) If it’s known that John chose a green marble, what is the probability that it’s chosen from box I?
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.
There are two boxes of marbles. Box I has 4 blue marbles and 6 green marbles; box II has 10
blue marbles and 5 green marbles. John flips a coin twice. If the head come up twice, he will
randomly choose a marble from box I. Otherwise, he will randomly choose a marble from
box II.
(a) What is the probability that John chooses a blue marble?
(b) If it’s known that John chose a green marble, what is the probability that it’s chosen from box I?
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