Heh, you're quite right 0_o. The probability of Echo and I being Mafia partners in this game in isolation is the same as any other combination of 2 people. You're looking at P(B|A) when that is obviously equal to P(B) if A and B are independent events. You have to consider the purpose of the calculation though. You're calculating something different.
What I'm suggesting is that you look at a longer time horizon. The probability of Echo and I being partners in 2 games is equal to P(B)*P(A). There is no point in assuming Event A is given, because we're not just looking at this game. I'm saying that picking Echo and I in two consecutive games is less likely than being picked in one game. I don't know how else to explain this, but I am quite confident that my method is correct. I used to get firsts (A's or whatever you want to call it) in my undergrad for this basic probability theory.
I have no idea how LadySuburu assigns roles. It might not even be completely random so the point is moot.
Anyway, we're straying way off course here. The difference is that you're calculating the probability of the event in this game in isolation and I'm considering the event across two games. If you disagree I think we should leave it at that. We've wasted enough posts on it
It is certainly not helping us catch the Mafia. Was fun though ;p
What I'm suggesting is that you look at a longer time horizon. The probability of Echo and I being partners in 2 games is equal to P(B)*P(A). There is no point in assuming Event A is given, because we're not just looking at this game. I'm saying that picking Echo and I in two consecutive games is less likely than being picked in one game. I don't know how else to explain this, but I am quite confident that my method is correct. I used to get firsts (A's or whatever you want to call it) in my undergrad for this basic probability theory.
I have no idea how LadySuburu assigns roles. It might not even be completely random so the point is moot.
Anyway, we're straying way off course here. The difference is that you're calculating the probability of the event in this game in isolation and I'm considering the event across two games. If you disagree I think we should leave it at that. We've wasted enough posts on it
