For those who haven't read
One Billion Pound Raffle Part 1, then please do.
Alright,
from Part 1, we saw that for 50 people participating in the raffle with 50 marbles, 49 black and 1 red, each person had exactly 1/50 chance of winning the raffle.
From there, we can see that for n people participating in the raffle with n marbles, n-1 black and 1 red, each person had exactly 1/n chance of winning the raffle.
Now, your second challenge -
When the raffle rules are the same prove that when there's n people participating in the raffle, with n marbles, n-1 black and 1 red, and you are the k-th person in line, you have 1/n chance of winning the One Billion Pound Raffle.
***Alright, for those who thought you can actually look at the marbles when you are drawing one from the bag, you can't (and yes, I actually look at the replies)***
***Part 3 will be posted soon***