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Math Help - Probability Tree Diagram

  1. #1
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    Probability Tree Diagram

    I don't know how to draw the tree diagram for this.. so I can't answer the questions. Can someone direct me with how to draw the tree diagram, please!!

    Here's the question:

    A student sits three examinations in Physics, Chemistry and French. From past experience she estimates that the probability of passing Physics is 0.4. If she passes Physics the probability of passing Chemistry is 0.6, otherwise it is 0.3. Passing French is independent of her performance in the other two subjects and has a probability of 0.45.

    a) Draw a tree diagram to represent this information.
    b) Find the probability that she
    i) passes all three subjects
    ii) passes exactly one subject
    iii) passes at least one subject.

    Thank you!
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  2. #2
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    Quote Originally Posted by bhuang View Post
    I don't know how to draw the tree diagram for this.. so I can't answer the questions. Can someone direct me with how to draw the tree diagram, please!!

    Here's the question:

    A student sits three examinations in Physics, Chemistry and French. From past experience she estimates that the probability of passing Physics is 0.4. If she passes Physics the probability of passing Chemistry is 0.6, otherwise it is 0.3. Passing French is independent of her performance in the other two subjects and has a probability of 0.45.

    a) Draw a tree diagram to represent this information.
    b) Find the probability that she
    i) passes all three subjects
    ii) passes exactly one subject
    iii) passes at least one subject.

    Thank you!
    Make the first two branches P (pass physics) and P' (does not pass physics). Then have two branches coming from each of those physics branches: C and C'. Then have two branches coming from each those chemistry branches: F and F'.
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