Question 578768

5 choices, therefore P(correct) for any independent question is 1/5:

P(exactly 2 correct) = P(2 correct)x P(2 wrong)

= (1/5)(1/5) x (4/5)(4/5)

= .04 x .64 = .0256 = roughly 2.6% chance

There is a 4 % chance that he/she gets at least 2 correct, so the probability for getting two and ONLY two correct, should be lower, since less outcomes satisfy the conditions.