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The probability that a person with the marker develops cancer is 0.0725.
Step-by-step explanation:
Let's denote the events as follows:
<em>A</em> = a person has cancer
<em>B</em> = a person carries the marker.
<u>Given:</u>
P (A) = 0.03
P (B) = 0.12
P (B|A) = 0.29
The conditional probability of an event <em>X</em> provided that another event <em>Y</em> has already occurred is:
Use the conditional probability formula to compute the probability that a person with the marker develops cancer.
Thus, the probability that a person with the marker develops cancer is 0.0725.