Medal A new cancer drug in clinical trials is given to a sample of 200 patients with stage 4 lung cancer over a course of 6 months. The survival rate of the patients is then tracked over 5 years. The results are as follows: After 1 year: 124 patients are still alive. After 2 years: 96 patients are still alive. After 3 years: 61 patients are still alive. After 4 years: 34 patients are still alive. After 5 years: 21 patients are still alive.
The drug is approved by the FDA for wide-spread distribution. What is the probability that a patient with stage 4 lung cancer, who begins taking the new drug, will still be alive in three years? Express your answer as a decimal rounded to 3 decimal places. What is the probability that the patient will die in the next five years? Express your answer as a decimal rounded to 3 decimal places.
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