Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 12 of the 65 boxes on the shelf have a secret decoder ring and inside the other 53 boxes on the shelf contain a different gift. If two cereal boxes are randomly selected from the shelf to purchase, what is the probability that both of them have the secret decoder ring? (Give answer as a decimal correct to least three decimal places.)
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 total 65 boxes.
12 of them have a special decoder ring and 53 boxes have different gifts.
We can pick any 2 boxes from 65 boxes in 65P2=
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