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Math Help - Using simultaneous equations to find probability of...

  1. #1
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    Using simultaneous equations to find probability of...

    Hi all,

    I can work the following with a tree diagram but not with simultaneous equations:

    75% of patients who have cancer and 10% of normal patients (who do not have cancer) are diagonised with cancer by a MRI. If 15% of a population have cancer, what is the probability of patients who are digonised with cancer by a MRI that really do have cancer?

    Using a tree diagram, i get probabilty of patients being diagonised which actually have cancer

    = (0.15 * 0.75)/ [(0.15 * 0.75) + (0.85 * 0.1)]
    = 0.57

    Thanks in advance,
    ArTiCk
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  2. #2
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    Quote Originally Posted by ArTiCK View Post
    Hi all,

    I can work the following with a tree diagram but not with simultaneous equations:

    75% of patients who have cancer and 10% of normal patients (who do not have cancer) are diagonised with cancer by a MRI. If 15% of a population have cancer, what is the probability of patients who are digonised with cancer by a MRI that really do have cancer?

    Using a tree diagram, i get probabilty of patients being diagonised which actually have cancer

    = (0.15 * 0.75)/ [(0.15 * 0.75) + (0.85 * 0.1)]
    = 0.57

    Thanks in advance,
    ArTiCk
    Your answer looks OK.
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