Multiple-choice test
Students are writing a multiple-choice test with 10 questions, with answer options a), b), c), where always only one answer is correct. The teacher told them that in the test the number of correct answers is as follows: option a) 5 times, option b) 3 times, option c) 2 times. What is the probability that a student who did not study at all will have all answers correct based solely on guessing?
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