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At a sporting event, a doping test will be carried out. If an athlete doped, then...

At a sporting event, a doping test will be carried out.

If an athlete doped, then the test is 92% positive.

If an athlete has not taken any doping, the test still shows a positive result of 1%.

From experience, we know that 30% of athletes are doped.

a.) Calculate the probability that a doping test will be positive!

b.) What is the probability that the test will be negative even though the athlete doped?

c.) What is the probability that an athlete has doped if his doping sample is negative?

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