Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 19 of the 53 boxes on the shelf have the secret decoder ring. The other 34 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring
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.
Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 19 of the 53 boxes on the shelf have the secret decoder ring. The other 34 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the
Given information:
The total number of boxes on the shelf, N = 53
Out of these 53 boxes, the number of boxes having secret decoder ring, D = 19
The number of boxes having a different gift inside, D' = 34
Number of boxes randomly selected = 2
It is required to obtain the probability that both of them have the secret decoder ring.
Introduction:
The mathematical procedure to arrange x objects out of the sample of size n in such a manner that the order of selection has no importance is termed as Combination.
The combination formula for arranging x objects out of n is:
Step by step
Solved in 2 steps
