Suppose that we roll two fair six-sided dice and record the numbers showing as an ordered pair. Let Y denote the absolute value of the difference of the two numbers. Find ?(Y).
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.
Suppose that we roll two fair six-sided dice and record the numbers showing as an ordered pair. Let Y denote the absolute value of the difference of the two numbers. Find ?(Y).
Difference between the two numbers is denoted by .
There can be 6 possible values of Y.
There are 36 possible outcomes of rolling two fair sided .
Probability that the absolute difference between the numbers is 0 :
Probability that the absolute difference between the numbers is 1 :
Probability that the absolute difference between the numbers is 2 :
Probability that the absolute difference between the numbers is 3 :
Probability that the absolute difference between the numbers is 4 :
Probability that the absolute difference between the numbers is 5 :
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