SOLUTION: a test consists of 5 multiple questions, the questions have 5 answers. Only 1 answer is correct for each question. If a student quesses the answer for each question. how many

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Question 418851: a test consists of 5 multiple questions, the questions have 5 answers. Only 1 answer is correct for each question. If a student quesses the answer for each question.
how many different ways can the test be answered?
what is the probability they only get the first and last question correct?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

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