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Math Help - Probability House vs. Player

  1. #1
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    Probability House vs. Player

    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.
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  2. #2
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    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?
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