Final answer:
The experimental probability of winning the weekly raffle if winning occurs only twice is 0.0385. The theoretical probability of winning the raffle weekly is 0.01.
Step-by-step explanation:
A. Experimental probability:
To calculate the experimental probability of winning the weekly raffle, we need to know the total number of raffles played and the number of times the student wins. In this case, the student plays every week for a year, which is a total of 52 weeks. If winning occurs only twice, the experimental probability of winning would be:
Experimental probability = (Number of times won) / (Total number of raffles played)
Experimental probability = 2 / 52 = 0.0385
B. Theoretical probability:
The theoretical probability of winning the raffle weekly can be calculated by dividing the number of favorable outcomes (winning) by the total number of possible outcomes (total number of tickets sold). In this case, there are 2 favorable outcomes (winning occurs only twice) and a total of 200 possible outcomes (200 tickets sold each week). Therefore, the theoretical probability of winning the raffle weekly is:
Theoretical probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Theoretical probability = 2 / 200 = 0.0