Question 1149903
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This is straightforward binomial probability.  It applies to a wide range of different kinds of problems.  Learn how to use it.<br>
There are 10 questions, we want to choose 6 of them to have correct answers.<br>
The probability of a right answer is 1/4; the probability of a wrong answer is 3/4.<br>
The probability of exactly 6 right answers is then<br>
{{{C(10,6)*(1/4)^6*(3/4)^4}}}<br>
Use a calculator to find that number is about 0.016, or a 1.6% chance.<br>