Three hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table. 18–24 25–34 35–55 55 and over Total Liked Crunchicles 18 22 7 25 72 Disliked Crunchicles 18 21 27 49 115 No Preference 2 30 19 62 113 Total 38 73 53 136 300 One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions. What is the probability that the consumer is 18–24 years of age, given that they dislike Crunchicles?   What is the probability that the selected consumer dislikes Crunchicles?   What is the probability that the selected consumer is 35–55 years old or likes Crunchicles?   If the selected consumer is 70 years old, what is the probability that they like Crunchicles?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Three hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.


18–24
25–34
35–55
55 and over
Total
Liked Crunchicles
18
22
7
25
72
Disliked Crunchicles
18
21
27
49
115
No Preference
2
30
19
62
113
Total
38
73
53
136
300


One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions.

What is the probability that the consumer is 18–24 years of age, given that they dislike Crunchicles?

 


What is the probability that the selected consumer dislikes Crunchicles?

 


What is the probability that the selected consumer is 35–55 years old or likes Crunchicles?

 


If the selected consumer is 70 years old, what is the probability that they like Crunchicles?

 

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