A snack cracker company conducted a taste test for the three different types of crackers it makes. It surveyed $250$ people in each age group in the table below. Participants chose their favorite type of cracker. Use the results to answer the questions.

1. What is the probability that a participant chose cracker A or was under $20$ years old? Use the Addition Rule.

   Hint (a):

   If the question says 'or' you must subtract the probability of 'and'.

   More Help (a):

   $P\left(\text{cracker A}\right) + P\left(\text{under } 20\right) − P\left(\text{cracker A and under } 20 \right)$

   Answer (a):

   $46.9\%$

2. What is the probability that a participant did not choose cracker A and was over $20$ years old? Use a complement to answer this question.

   Hint (b):

   To use the complement, reverse the method you used in part (a).
   Subtract P(cracker A) and P(Under $20$) from the total.

3. What is the probability that a participant was $20$ years old or older? Use a complement to answer this question.

   Hint (c):

   Use the same method from part (b).

4. A randomly-selected participant says he is $15$ years old. What is the probability that he chose cracker A?

   Reminder (d):

   Each age group only has $250$ participants.

   Hint (d):

   $\frac{ \# \: \text{of participants under 20 who picked cracker A}} {\# \: \text{participants in age group}}$

   Answer (d):

   $60.8\%$