Question

Conditional Statement: If it rains, then the game will be cancelled. Which of these statements is the Converse of this statement?

a) If the game is not cancelled, then it has not rained.
b) If it does not rain, then the game will not be cancelled.
c) If the game is cancelled, then it has rained.

Answer 1

Option c, 'If the game is cancelled, then it has rained,' is the converse of the original conditional statement.

Step-by-step explanation:

The converse of a conditional statement flips the antecedent and the consequent of the original if-then statement. Given the conditional statement, If it rains, then the game will be cancelled, the converse would be If the game is cancelled, then it has rained, making option c the correct answer to the question. It is important to note, however, that the truth of the converse is not guaranteed by the original statement as they are logically independent.