Four hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.
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?
| 18–24 | 25–34 | 35–55 | 55 and over | Total | |
|---|---|---|---|---|---|
| Liked Crunchicles | 17 | 35 | 29 | 103 | 184 |
| Disliked Crunchicles | 11 | 19 | 20 | 16 | 66 |
| No Preference | 46 | 47 | 47 | 10 | 150 |
| Total | 74 | 101 | 96 | 129 | 400 |
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?