Question

Which of the following statements is the contrapositive of the statement, You win the game if you know the rules but are not overconfident.

• A. If you lose the game then you dont know the rules or you are overconfident.
• B. A sufficient condition that you win the game is that you know the rules or you are not overconfident.
• C. If you dont know the rules or are overconfident you lose the game
• D. If you know the rules and are overconfident then you win the game.

Answer 1

Answer: (A)

If you lose the game then you dont know the rules or you are overconfident.

Contrapositive is the inverse of the converse of the statement.

It is obtained by first interchanging the hypothesis and conclusion and then adding "not" to both

In this case, converse is "If you win the game, then you know the rules but are not overconfident."

Inverse of this statement gives answer as A.