Referring to the birthday problem, assume that it is equiprobable to have a birthday in any month of the year. Suppose that there are six people in a room. (a) What is the probability that at least two people have a birthday in the same month? (b) What is the probability that three of the people have birthdays in one month, and the other three have birthdays in another month?
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.
Referring to the birthday problem, assume that it is equiprobable to have a birthday in any month of the year. Suppose that there are six people in a room.
(a) What is the probability that at least two people have a birthday in the same month?
(b) What is the probability that three of the people have birthdays in one month, and the other three have birthdays in another month?
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