Gambles are independent, and each one results in the player being equally likely to win or lose 1 unit. Let W denote the net winnings of a gambler whose strategy is to stop gambling immediately after his first win.
Find P(W < 0).
I am not sure how to calculate the probability for this. I know that P(W > 0) is 1/2.
Find E[W] How does it equal 0?