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?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Suppose you have 12 drinks, 7 regular and 5 diet, in a cooler. You select two at random. Answer the following questions:

 
    1. What is the probability you get no diet drinks?
      7/22
       
 
  1. What is the probability you get at least one diet drink?
     
     
Expert Solution
Step 1

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,

Probability homework question answer, step 1, image 1

The probability that you get no diet drinks is 0.3182.

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