Suppose you have 12 drinks, 7 regular and 5 diet, in a cooler. You select two at random. Answer the following questions: What is the probability you get no diet drinks? 7/22 What is the probability you get at least one diet drink?
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 have 12 drinks, 7 regular and 5 diet, in a cooler. You select two at random. Answer the following questions:
- What is the
probability you get no diet drinks?7/22
- What is the probability you get at least one diet drink?
Obtain the probability that you get no diet drinks.
The probability that you get no diet drinks is obtained below as follows:
From the information, given that
Let the total number of drinks=12.
The total number of regular drinks=7.
The total number of diet drinks=5
Also given that two drinks are selected at random.
Let E denote the event selected drinks do not contain diet drinks.
The required probability is,
The probability that you get no diet drinks is 0.3182.
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