Question 1095645
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A multiple choice quiz has 5 questions. Each question has 4 choices.
What is the probability of randomly guessing on all questions and getting them all correct?
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Actually, this condition is incomplete, since it doesn't say how many of each of 4 choices are correct.


        In principle, it may happen that all of them are incorrect.
        Or,  let say,  3 of them are correct.
        Or even all 4 are correct.



I perfectly understand what the author was going to say in the condition  (but failed to say).  The correct formulation is THIS:


<pre>
    A multiple choice quiz has 5 questions. Each question has 4 choices, <U>of which only one is correct</U>.

    What is the probability of randomly guessing on all questions and getting them all correct?
</pre>


Then the answer is &nbsp;&nbsp;{{{1/4^5}}}.