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Math Help - Probability of winning the game with multiple variables

  1. #1
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    Probability of winning the game with multiple variables

    Hi All,

    I am trying to solve a complicated problem at least too complicated for me to solve.

    Lets say I have a game

    - 100 players play the game in the same time
    - Players are asked one question every day
    - Every questions have 3 possible answers and only 1 correct answer - every correct answer worth 1 point)
    - Every answer has same probability to be correct (Probability of the answer being correct is 0.33333 and wrong is 0.66667)
    - Player gets 10 correct answers (10 points) win the game and all statistics get reset and game starts again
    - If a player answers 5 consecutive correct answer then the player win prize but no reset so game carries on
    - If a player answers 3 consecutive questions wrongly then his statistics get reset and he starts win 0 points.
    - The game is played for 1 year (365 days)

    All above are variable

    How frequently a player win the game by answering 10 questions correctly
    How frequently a player gets a prize by answering 5 consecutive questions correctly.

    I need the formulas to use in Excel..

    Anyone can help as I need this urgently.
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