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Diseases I and II are prevalent among people in a certain population. It is assumed that 10% of the population will contract disease I sometime during their lifetime, 15% will contract disease II eventually, and 3% will contract both diseases.

(a) Find the probability that a randomly chosen person from this population will contract at least one disease.
(b) Find the conditional probability that a randomly chosen person from this population will contract both diseases, given that he or she has contracted at least one disease.

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