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Math Help - Probability Distrubtion Help!!

  1. #1
    Member looi76's Avatar
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    Probability Distrubtion Help!!

    Question:
    The probability of the scores on a biased dice are shown in the table below.

    (a) Find the value of k.
    Two players, Hazel and Ross, play a game with this biased dice and a fair dice. Hazel choose one of the two dice at random and rolls it. If the score is 5 or 6 wins a point.
    (b) Calculate the probability that Hazel wins a point.
    (c) Hazel chooses a dice, rolls it and wins a point. Find the probability that she choose the biased dice.

    Attempt:
    (a) k = 1-(\frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\  frac{1}{2})

    k = \frac{1}{18}

    (b) P(Hazel wins a point) = \frac{1}{2}\times\frac{2}{6}+\frac{1}{2}\times(\fr  ac{1}{9}\times\frac{1}{2})

    P(Hazel wins a point) = \frac{17}{36}

    (c) Need Help!!..
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  2. #2
    MHF Contributor

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    You have done both parts correctly.
    In part b) you found P(W).

    For part c) you need P(B|W) = \frac{{P(B \cap W)}}{{P(W)}} = \frac{{P(W|B)P(B)}}{{P(W)}}.
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