Suppose you are playing a friendly game of Dungeons and Dragons with your friends. One part of the game involves rolling a 20-sided die in order to ‘succeed’ at various actions. If your roll is higher than a predetermined value, then you succeed. If your roll is lower than the predetermined value, you fail. In the game you sometimes have the opportunity to roll with ‘advantage’. When rolling with advantage, you get to roll your die twice and choose the larger of the two outcomes. If rolling with advantage, what is the probability of rolling a critical success (getting a 20 on at least one of the two rolls)?
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.
Suppose you are playing a friendly game of Dungeons and Dragons with your friends. One part of the game involves rolling a 20-sided die in order to ‘succeed’ at various actions. If your roll is higher than a predetermined value, then you succeed. If your roll is lower than the predetermined value, you fail. In the game you sometimes have the opportunity to roll with ‘advantage’. When rolling with advantage, you get to roll your die twice and choose the larger of the two outcomes. If rolling with advantage, what is the probability of rolling a critical success (getting a 20 on at least one of the two rolls)?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images