A six-sided die is weighted so that rolling a two, four, or six is equally likely. In addition, rolling a one is twice as likely as rolling a two, rolling a three is 4 times as likely as rolling a one, and rolling a one and rolling a five are equally likely. What is the probability that an even number is rolled? Give your answer as a fraction.
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 six-sided die is weighted so that rolling a two, four, or six is equally likely. In addition, rolling a one is twice as likely as rolling a two, rolling a three is 4 times as likely as rolling a one, and rolling a one and rolling a five are equally likely. What is the probability that an even number is rolled? Give your answer as a fraction.
Given that a weighted six sided die is rolled.
Let X be the number rolled on the die.
X can take values 1, 2, 3, 4, 5, 6
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