Five hundred consumers were surveyed about a new brand of snackfood, Crunchicles. Their age groups and preferences aregiven in the table.
| 18–24 | 25–34 | 35–55 | 55 and over | Total |
---|
Liked Crunchicles | 4 | 20 | 23 | 35 | 82 |
---|
Disliked Crunchicles | 47 | 56 | 44 | 38 | 185 |
---|
No Preference | 27 | 8 | 28 | 170 | 233 |
---|
Total | 78 | 84 | 95 | 243 | 500 |
---|
One consumer from the survey is selected at random. Usereduced fractions for your responses to each ofthe following questions.
What is the probability that the consumer is 18–24 years of age,given that he/she dislikes Crunchicles?
What is the probability that the selected consumer dislikesCrunchicles?
What is the probability that the selected consumer is 35–55 yearsold or likes Crunchicles?
If the selected consumer is 70 years old, what is the probabilitythat he/she likes Crunchicles?