Question: HIV among College Students. Suppose 3% of the students at a particular college are known to carry HIV.

1. If a student has six sexual partners during the course of a year, what is the probability that at least one of them carries HIV?
2. If a student has 12 sexual partners during the course of a year, what is the probability that at least one of them carries HIV?
3. How many partners would a student need to have before the probability of an HIV encounter exceeded 50%? ( If it is greater than this number, than the probability > 50%.

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