Question

which of the following is a counterexample for this conditional statement? if a playing card from a standard deck is red, then it is a heart. a diamond a club a spade a heart

Explanation:

Step1: Understand the conditional statement

The statement is "If a playing card from a standard deck is red, then it is a heart." A counterexample would be a card that is red (satisfies the hypothesis) but is not a heart (does not satisfy the conclusion).

Step2: Analyze each option

• A diamond: Diamonds are red cards (satisfies the hypothesis) and are not hearts (does not satisfy the conclusion). So this can be a counterexample.
• A club: Clubs are black, so they don't satisfy the hypothesis (being red), so not a counterexample.
• A spade: Spades are black, so they don't satisfy the hypothesis, so not a counterexample.
• A heart: Hearts are red and are hearts, so they satisfy both hypothesis and conclusion, not a counterexample.

Answer:

a diamond