you roll two fair dice. How many ways are there for the sum of the dice to be less than 6?
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.
you roll two fair dice. How many ways are there for the sum of the dice to be less than 6?
On rolling two dice, let X be the sum of the outcomes. The all possible values of X is {2,3,4,5,6,7,8,9,10,11,12}.
| X=x | Possible outcomes |
| X=2 | {1,1} |
| X=3 | {1,2},{2,1} |
| X=4 | {1,3},{3,1},{2,2} |
| X=5 | {1,4},{4,1},{2,3},{3,2} |
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