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Imagine a subject is taking part in a study to test a new cold medicine. The probability that the subject is taking drug A is

Imagine a subject is taking part in a study to test a new cold medicine. The probability that the subject is taking drug A is 20%, that it is drug B is 30%, and that it is drug C is 5050%. From past clinical trials, the probabilities that these drugs will improve his condition are

A (40%),

B (60%), and C (50%).

What is the probability that he will improve?

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