i. If there is a king in the hand then there is an ace, or if there isn’t a king in the hand then there is an ace, but not both.
ii. There is a king in the hand.
Given the above premises, what can you infer?
Statement i says that one of the following statements is true, but not both.
1. If there is a king in the hand, then there is an ace.
2. If there isn't a king in the hand, then there is an ace.
Since there is a king in the hand, 2 must be true. Therefore, 1 must be false. Since 1 is false, there is no ace in the hand.
Conclusion:There is no ace in the hand.
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Posted by Math Man
on 2016-11-10 11:07:07 |