Suppose you are shown four cards and told that each card has a letter on one side and a number on the other.You can see only one side of each card.Card one has an E on it; card two has a K on it,card three has a 4 on it,and card four has a 7 on it.You must determine whether the following hypothesis is true or false: If there is a vowel on one side,then there is an even number on the other side.What is the minimum number of cards you must examine to test this hypothesis?

Question

Quizplus · Accepted Answer

To test the hypothesis, we must examine cards one and three. If we find that the letter E (which is a vowel) has an odd number on the other side, then we can conclude that the hypothesis is false. If we find that the number 4 (which is even) has a consonant on the other side, then we cannot conclude anything about the hypothesis. Therefore, the minimum number of cards we must examine is two. Card two and card four do not need to be examined, as they do not provide any information that can help us test the hypothesis.

Suppose You Are Shown Four Cards and Told That Each