Final answer:
The experimental probability of winning the weekly raffle is 1/26, while the theoretical probability is 1/100.
Step-by-step explanation:
A. To find the experimental probability of winning the weekly raffle, you need to divide the number of times you win by the number of times you played. In this case, you played the raffle every week for a year, so you played a total of 52 weeks. If winning is only twice, then the experimental probability of winning the weekly raffle is 2/52, which simplifies to 1/26.
B. The theoretical probability of winning the raffle weekly can be found by dividing the number of favorable outcomes (winning) by the total number of possible outcomes (number of tickets sold each week). In this case, the number of favorable outcomes is 2 (winning twice) and the total number of possible outcomes is 200 (tickets sold each week), so the theoretical probability is 2/200, which simplifies to 1/100.