Question
You are told that 1% of NBA players take an illegal drug. All players must take a drug test that is 96% accurate.
What is the probability that a NBA player tests positive (i.e., the test says that the player is taking the drug)?
What is the probability that a player is taking the drug given that they tested positive?
What is the probability that a NBA player tests negative?
What is the probability that a NBA player tests positive (i.e., the test says that the player is taking the drug)?
What is the probability that a player is taking the drug given that they tested positive?
What is the probability that a NBA player tests negative?