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:

+

+