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Math Help - Probability Problem - worms on a plate

  1. #1
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    Probability Problem - worms on a plate

    ok, the question reads:

    An intriguing species of worm spends its time wandering around in search of food. A population of these worms is on a plate, 2% of which is covered with food. A point containing food contains worms with probability .1 and a point without food contains worms with probability .04 .

    a.) draw a diagram illustrating the events and probabilities---- what kind of "diagram" is this supposed to be??

    b.) find the probability that a 1-mm^2 region containing a worm also contains food --(no idea how to go about this one)

    PLEASE PLEASE PLEASE help me!!
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  2. #2
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    Quote Originally Posted by calcusucks View Post
    ok, the question reads:

    An intriguing species of worm spends its time wandering around in search of food. A population of these worms is on a plate, 2% of which is covered with food. A point containing food contains worms with probability .1 and a point without food contains worms with probability .04 .

    a.) draw a diagram illustrating the events and probabilities---- what kind of "diagram" is this supposed to be??

    b.) find the probability that a 1-mm^2 region containing a worm also contains food --(no idea how to go about this one)

    PLEASE PLEASE PLEASE help me!!
    Could be a Venn diagram ..... Or a tree diagram ...... Or perhaps even a Karnaugh table .......

    Pr(Food) = 0.02.
    Pr(Worm | Food) = 0.1.
    Pr(Worm | No food) = 0.04.

    Pr(Food and worm) = Pr(Worm | Food) Pr(Food) = .....
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