I am running a raffle. There are 10 prizes numbered 1-10 and 100 tickets. The raffle is run in two different ways:
A) Prize 1 is allocated to the first ticket drawn, prize 2 to the second and so on until 10 tickets are drawn. Tickets are not replaced.
B) Prize 10 is allocated to the first ticket drawn, prize 9 to the second and so on until 10 tickets are drawn. Tickets are not replaced.
Question: Is the overall probability of a ticket winning Prize 1 different in either scenario A or B?
Please do not complicate the answer with discussion of the change in probabilities during the draw.
I know the answer - but this is to resolve a very real PTA dispute... please upvote any correct answers to help resolve this pressing issue! There are similar questions, but I can't find any exactly like this, and I want this exact phrasing so the PTA is able to follow without confusion!