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In the cancer ward at Mercy Hospital there is a .1 probability of Lung Cancer, additionally it is known that the probability is .07 that an individual in the ward is a smoker given he/she has lung cancer, it is also known that the probability that an individual is a smoker and does not have lung cancer is .043, and the probability of having lung cancer and smoking is .007.
1) Given the above information, what is the probability of an individual in the ward not being a smoker and having lung cancer?
2) Given the above information, what is the probability of an individual being a smoker?
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