The probability that an athlete uses steroids, given that he tests positive is 0.92. I am hoping that this answer has satisfied your query and it will be able to help you, and if you would like, feel free to ask another question.
Answer: Probability that an athlete uses steroids given that he tests positive is 91.6%.
Step-by-step explanation:
Let A be the event that athletes test positive for steroids .
Let B be the event that he actually use steroids.
Since we have given that
Probability that athletes test positive for steroids = P(A) = 12%
Probability that athletes test positive for steroids and actually use steroids = P(A∩B) = 11%
So, we need to find the probability that an athletes use steroids given that he tests positive.
For this we will use "Conditional probability":
[tex]P(B\mid A)=\dfrac{P(A\cap B)}{P(A)}\\\\P(B\mid A)=\dfrac{11}{12}\\\\P(B\mid A)=0.916\\\\P(B\mid A)=0.916\times 100\%\\\\P(B\mid A)=91.6\%[/tex]
Hence, Probability that an athlete uses steroids given that he tests positive is 91.6%.
