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  1. #26
    Who is this guy, again? travis2's Avatar
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    Each miss one, in this case, means each miss at least one. Basically he should have summed all these up (assume q=1-p):

    1) Prob of each player missing exactly 1 FT (your calculation above): 2*2*p1q1p2q2
    2) Prob of only one player missing 2FT = q1q1p2p2 + p1p1q2q2
    3) Prob of one player missing 2 FT and the other missing 1FT: 2*q1q1p2q2 + 2*p1q1q2q2
    4) Prob of both players missing all their free throws : q1q1q2q2
    True. Of course, if we are looking at this set of possibilities, it's easier to calculate the probability of nobody missing anything and subtracting from 1:

    P[at least 1 miss] = 1 - P[no miss] = 1 - [2C2*p1*p1][2C2*p2*p2] = 1 - [(1)(0.825)(0.825)][(1)(0.796)(0.796)] = 1 - 0.431 = 0.569

    So yeah, the probability was pretty good someone was going to miss something.

  2. #27
    Believe. Kobulingam's Avatar
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    True. Of course, if we are looking at this set of possibilities, it's easier to calculate the probability of nobody missing anything and subtracting from 1:

    P[at least 1 miss] = 1 - P[no miss] = 1 - [2C2*p1*p1][2C2*p2*p2] = 1 - [(1)(0.825)(0.825)][(1)(0.796)(0.796)] = 1 - 0.431 = 0.569

    So yeah, the probability was pretty good someone was going to miss something.
    What we need here is P[at least 2 misses] = 1 - P[no miss] - P[player A misses 1] - P[player B misses 1]

  3. #28
    "Go down in your own way"
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    nerd alert!

  4. #29
    Who is this guy, again? travis2's Avatar
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    What we need here is P[at least 2 misses] = 1 - P[no miss] - P[player A misses 1] - P[player B misses 1]
    Rewrite this as P[at least 2 misses] = 1 - P[no miss] - P[player A misses 1, player B makes both] - P[player A makes both, player B misses 1]

    1 - 0.431 - 0.183 - 0.221 = 0.165

    Definitely not betting odds...

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