a ) Using the information in the problem , what are the following probabilities on Kim's performance in the Olympics : P [ Medal] , P [ Unremarkable ] , P [ Injury ] . b ) Using the information in the problem , determine the following conditional probabilities on when the trainer would give positive or negative recommendations ( show how you calculate each probability ) : P [ Positive / Medal] P [ Negative / Medal] P [ Positive / Unremarkable ] P [ Negative | Unremarkable ] P [ Positive / Injury ] P [ Negative / Injury ]