MATH 1550H Quiz: MATH1550H-Quiz-Solutions (3)
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[10 minutes: the following problem appeared online some years ago. If you choose an answer to this question at random, what is the chance you will be correct: 25, 50, 60, 25% Explain, as completely (and correctly!) as you can just what is going on in this problem. Sadly, there is no correct answer among the given alternatives, so the probability of choosing a correct answer is 0%. A random choice of four di erent answers, exactly one of which is correct, has a 25% chance (i. e. a probability of 1. In this case, however, two of the four alternatives are the same, namely 25%, so the possible answer of 25% would have a 50% chance (i. e. a probability of 1. To add insult to injury, the possible answer of 50% occurs once, so it would be randomly chosen 25% of the time (i. e. with a probability of 1. Essentially, the problem has been set up to be internally contradictory.
