An experiment consists of first rolling a die and then tossing a coin.   a. List the sample space.   b. Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.) P(A) = c. Suppose that a new experiment consists of first rolling a die and then tossing a coin twice. Let B be the event that the first and second coin tosses land on heads. Let C be the event that either a three or a four is rolled first, followed by landing a head on the first coin toss. Are the events B and C mutually exclusive? Explain your answer.   a. Events B and C are mutually exclusive because they have different probabilities. b. Events B and C are mutually exclusive because the first and second coin tosses cannot land on heads when a three or four is rolled first.     c. Events B and C are not mutually exclusive because the first and second coin tosses can land on heads when a three or four is rolled first. d. Events B and C are mutually exclusive because they are dependent events.

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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.