Consider the following game: You pay $1 to play the game. You toss a fair coin until a tail is tossed. The payoff is $1 for each consecutive head that you toss. (example: If you toss HHHT, you win $3. If you toss T, you win nothing). Does this game favor the house of the player? Justify answer.
Please help! I'm not really sure where to even start.