Let's interpret the table and calculate the relevant probabilities based on the given data.

1. Given a person who has eaten snack A before:

We want to determine the likelihood that they stay with Snack A or change to Snack B.

• The total number of people who have eaten Snack A before is 236.
• Out of those, 144 prefer Snack A (i.e., they stay with Snack A).
• The probability of staying with Snack A = $\frac{144}{236}$.

Since this probability is greater than 50%, the person is more likely to stay with Snack A.

2. Given a person who has not eaten snack A before:

We want to find out if they prefer Snack A or Snack B.

• The total number of people who have not eaten Snack A before is 336.
• Out of those, 108 prefer Snack A, while 228 prefer Snack B.
• The probability of preferring Snack B = $\frac{228}{336}$.

Since this probability is greater than 50%, the person is more likely to prefer Snack B.

Conclusions:

1. Given a person who has eaten Snack A before, the customer will stay with Snack A.
2. Given a person who has not eaten Snack A before, the customer will want to eat Snack B.

Let me know if you want any further details or calculations!

Here are 5 related questions:

1. What is the overall probability that a randomly selected person prefers Snack A?
2. How would the probabilities change if more people who hadn't eaten Snack A started preferring it?
3. What is the probability that a randomly selected person has not eaten Snack A before?
4. How can you calculate the likelihood of preferring Snack B overall, without conditions?
5. Can we predict future snack preferences based on this data?

Tip: When calculating conditional probabilities, always focus on the specific group in question, rather than the total population.