Richard has just been given a 10 question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guessing on all 10 questions, find the indicated probabilities. c) What is the probability that he will answer at least one of the questions correctly?  d) What is the probability that Richard will answer at least half the questions correctly?

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A: Here, P(K) =0.043 P(P) =0.076 P(Both)=0.019

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A: The solution is as follows,

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A: Note: Hi! Thanks for posting the question. Since there are more than three sub-part questions, we…

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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.