A fair six-sided die is rolled six times. If an even face numbered k is the outcome on an even roll k for k = 1, . . . , 6, or an odd face numbered k is the outcome on an odd roll k, then we say that a match has occurred. The experiment is called a success if at least one match occurs during the six trials. Otherwise, the experiment is called a failure. (a) Find the outcome space O. (b) Find the probability of failure. (c) Find the probability of success.
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.
A fair six-sided die is rolled six times. If an even face numbered k is the outcome on
an even roll k for k = 1, . . . , 6, or an odd face numbered k is the outcome on an odd
roll k, then we say that a match has occurred. The experiment is called a success if at least one match occurs during the six trials. Otherwise, the experiment is called a failure.
(a) Find the outcome space O.
(b) Find the
(c) Find the probability of success.
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