You never attended classes for business stats class, nor did any of the homework or readings. At the first class you finally attend, the instructor gave out a surprise quiz: 10 multiple-choice questions, with 5 equally likely answers. Your probability of guessing an answer correctly does not depend on your previous guesses.

a) If at least 6 correct out of 10 passes, and you'll have to randomly guess at every answer, what is the probability of you passing the test?

b) What is the probability of you guessing NONE (0) of the answers correctly?

c) What if you could eliminate 3 out of the 5 answers you are only guessing out of 2 answers. What would your probability of passing with exactly 7 out of 10 correct?