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Math Help - Probability Question

  1. #1
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    Unhappy Probability Question

    Hi!
    I really cannot work out how to solve this question, and a little bit of help would be much appreciated.

    Q. Jake and Jessica are working on a problem. Jake has a 45% chance of solving it, and Jessica has a 65% chance of solving it. Find the probability that both solve the problem.

    Please help me, I have no idea how to even begin this question!

    Thanks!
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  2. #2
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    Quote Originally Posted by Help me!!! View Post
    Hi!
    I really cannot work out how to solve this question, and a little bit of help would be much appreciated.

    Q. Jake and Jessica are working on a problem. Jake has a 45% chance of solving it, and Jessica has a 65% chance of solving it. Find the probability that both solve the problem.

    Please help me, I have no idea how to even begin this question!

    Thanks!
    These two events are independent. This is easiest solved using a tree diagram.

    In this case, you need to remember two formulae:

    Pr(A') = 1 - Pr(A) and Pr(A \cap B) = Pr(A) \times Pr(B).


    If Pr(Jake) = 0.45 then Pr(Jake') = 0.55

    And if Pr(Jessica) = 0.65 then Pr(Jessica') = 0.35.

    So look at this tree diagram (attached), follow the branches that have both Jake and Jessica win, and multiply the corresponding probabilities.
    Attached Thumbnails Attached Thumbnails Probability Question-jake-jessica.bmp  
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