can any math genius out there help me?

<p>hehe, sounds like the good days hehe… Would you mind helping me out with just one more problem? I have a test tomorrow and I’m trying to do every problem I can find in the book about probabilities…</p>

<p>so here goes:</p>

<p>One person in every 1000 of apopulation is known to have tuberculosis. When tested, there is a 95% chance that a person with tuberculosis will in fact register positive. What are the chances of a person from this population having tuberculosis will also be tested positive?</p>

<p>I thought it would be P(being tested positive given that you have tuberculosis)= p(positive and tube) /p(tube) = (1/1000* 0.95)/(1/1000)
but wouldn’t this just be 95%…this just sounds too easy to be right , would you mind checking/correcting my process?</p>