Answer
Converse: If Juan is rich, then won the lottery. (false)
Inverse: If Juan doesn't win the lottery, then he will not be rich. (false)
Contrapositive: If Juan is not rich, then he did not win the lottery. (true)
Work Step by Step
Switch the hypothesis and conclusion for the converse. Negate the hypothesis and conclusion for the inverse. Switch and negate the hypothesis and conclusion for the contrapositive.