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May 13th, 2013, 04:20 PM  #1 
Newbie Joined: May 2013 Posts: 2 Thanks: 0  Probability Risk Factors
A woman at a doctor's office has many patients. She is studying two risk factors, A and B. The woman determines that 60% of people do not have risk factor A. She also determines that 36% of people do not have risk factor A or B. If the chance of having risk factor A is independent of the chance of having risk factor B, what is the probability that a randomly selected patient has risk factor A and B? Show your work please. 
May 14th, 2013, 05:16 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond  Re: Probability Risk Factors
Is that all of the information you were given?

May 14th, 2013, 07:14 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,919 Thanks: 2202 
As 36% is 60% of 60%, 40% of the people have risk factor B, so 40% of the 40% who have risk factor A also have risk factor B. Hence the required probability is 16%.

May 15th, 2013, 06:22 AM  #4 
Newbie Joined: May 2013 Posts: 4 Thanks: 0  Re: Probability Risk Factors
the answer is 0.256


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