Seven board books and 10 paper books are in a cupboard. Three books are to be selected at random, without replacement, from the cupboard. If the board books and paper books are equally likely to be chosen, find the probability that 1 board book and 2 paper books are 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.
First we will find out total number of way to select 3 books from a total of 17 books( 7 board books and 10 paper books) without replacement.
For first selection we have 17 ways,for second we have 16 ways and for third selsction we have 15 ways .So total number of way is 17×16×15=4080.
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