1. #1
    wrongturn
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    First to Score Probablity

    Let's say team A's probability to score on each possession is PA, and team B is PB. If team A gets ball first, is there a "simple" formula to calculate the probability for team A to score first? Like a formula to use in spreadsheet?

    Yes, I want spoon feed, and flame if you want.

  2. #2
    Justin7
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    In the two first possessions, the odds of each team scoring first are:
    A: Pa
    B: (1-Pa)(Pb)

    If you assume someone scores, then the probability of A scoring first is Pa / [ Pa + (1-Pa)(Pb)]

    You can get to that conclusion from using an infinite series, or limiting the probability space.
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    wrongturn gave Justin7 12 SBR Point(s) for this post.


  3. #3
    wrongturn
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    Justin7, thanks.

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