Consider 3 bolws. The bowl A has 5 white balls and 9 red balls, the bowl B has 3 white balls and 7 red balls, and the bowl C has 9 white balls and 4 red balls. A single ball is selected from the bowl A and is transfer to the bowl B, Then a ball is selected from the bowl B and is transfer to the bowl C, Finaly we select a single ball form the bowl C. Whats the probability that the ball selected from the bowl C is White?
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.
Consider 3 bolws. The bowl A has 5 white balls and 9 red balls, the bowl B has 3 white balls and 7 red balls, and the bowl C has 9 white balls and 4 red balls. A single ball is selected from the bowl A and is transfer to the bowl B, Then a ball is selected from the bowl B and is transfer to the bowl C, Finaly we select a single ball form the bowl C. Whats the
As given above:
Bowl A has 5 white and 9 red balls.
Bowl B has 3 white and 7 red balls.
Bowl C has 9 white and 4 red balls.
Now A single ball is selected from the bowl A and is transfer to the bowl B, Then a ball is selected from the bowl B and is transfer to the bowl C:
Case-1) If we select one white ball from bowl A and then put it in bowl B and then Again select white ball from B and then put it in C then the probability that the ball selected from the bowl C is White is:
Case-2) If we select one white ball from bowl A and then put it in bowl B and then select a red ball from B and then put it in C then the probability that the ball selected from the bowl C is White is:
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