An experiment consists of rolling three fair dice --- a red die, a blue die, and a white die --- and recording the number rolled on each die. Assume that the dice are fair, so that all outcomes are equally likely.(1) What probability should be assigned to each outcome? (2) What is the probability that the sum of the numbers rolled is 6? (3) What is the probability that the sum of the numbers rolled is at most 5?
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.
An experiment consists of rolling three fair dice --- a red die, a blue die, and a white die --- and recording the number rolled on each die. Assume that the dice are fair, so that all outcomes are equally likely.
(1) What probability should be assigned to each outcome?
(2) What is the probability that the sum of the numbers rolled is 6?
(3) What is the probability that the sum of the numbers rolled is at most 5?
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