Question 1186400
Here's how to calculate the probabilities based on the given table:

**1. Probability that the consumer is 18-24 years of age, given that they dislike Crunchicles:**

We are given that the consumer dislikes Crunchicles. So, we focus on the "Disliked Crunchicles" row. The probability that they are 18-24 years old is:

P(18-24 | Disliked Crunchicles) = (Number of 18-24 who disliked) / (Total who disliked)
P(18-24 | Disliked Crunchicles) = 4 / 22
P(18-24 | Disliked Crunchicles) = **2/11**

**2. Probability that the selected consumer dislikes Crunchicles:**

This is simply the number of people who disliked Crunchicles divided by the total number of people surveyed:

P(Disliked Crunchicles) = 22 / 200
P(Disliked Crunchicles) = **11/100**

**3. Probability that the selected consumer is 35-55 years old or likes Crunchicles:**

We need to consider the "35-55" column and the "Liked Crunchicles" row. However, we need to avoid double-counting the people who are both 35-55 years old and liked Crunchicles.

P(35-55 or Liked) = P(35-55) + P(Liked) - P(35-55 and Liked)
P(35-55 or Liked) = (19/200) + (18/200) - (5/200)
P(35-55 or Liked) = 32/200
P(35-55 or Liked) = **8/50 = 4/25**

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

Since the consumer is 70 years old, they fall in the "55 and over" category. We focus on that column.

P(Liked | 55 and over) = (Number of 55 and over who liked) / (Total 55 and over)
P(Liked | 55 and over) = 6 / 122
P(Liked | 55 and over) = **3/61**