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.

Start by finding the probability of getting 1 head in a row; 2 heads in a row; 3 heads in a row; 4 heads in a row. What do you notice?