The athletic department of a school has 16 full time coaches, and 4 of them are female. The director selects two coaches at random. What is the probability that neither of them is female?
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.
According to the combination rule, if r distinct items are to be chosen from n items without replacement, in such a way that the order of selection does not matter, then the selection can be made in (nCr) = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r! ways.
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