Question 1167448
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            1.    Your thinking is  INCORRECT.


            2.    Tutor  @Boreal misread the problem and gave incorrect solution,  too.


            3.    I came to bring a correct solution.   See below.



<U>Solution</U>


<pre>
For each of 10 questions, the probability to get incorrect answer is  {{{3/4}}} = 0.75.


The probability to get all 10 answers incorrectly is, THEREFORE,  {{{0.75^10}}} = 0.056314 = 5.6314%.

    It is the answer to the first question.




The probability to get at least one correct answer is the COMPLEMENT to it, i.e. 1 - 0.056314 = 0.943686 = 94.3686%.


    It is the answer to the second question.
</pre>

Solved.