making some modifications to part B), would it be:
so then I would have:
at which point I'm stuck.
A and B play a series of game, the probability of A wining is and the probability of B wining is . The winner of the series is the player that wins 2 more games.
A) Find the probability that A is the final winner.
B) Compute the expectation of games played.
A) in order for A to be the winner, one of these outcomes would have to occur:
I think I would have to sum up the values, which would give:
B) I would think that would be around 3, considering that there are a total of 6 possible outcomes, I would think it would look something like this: