Hi
a test consists of 5 multiple questions, the questions have 5 answers.
Only 1 answer is correct for each question.
P(correct) = .20 P(incorrect) = .80
how many different ways can the test be answered? 5^5
P(probability they only get the first 'and' last question correct)
P(2 correct out of 5) = 10(.2)^2(.8)^3