SOLUTION: A multiple-choice test has 6 questions. Each question has 5 choices and only one of which is correct. If a student guesses the answer for each question find the probability that t

Question 1137149: A multiple-choice test has 6 questions. Each question has 5 choices and only one of which is correct. If a
student guesses the answer for each question find the probability that the students gets exactly 3 questions correct
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


The probability to guess randomly the correct answer for each question is  .


The probability to guess correctly 3 fixed questions of 5 is  .


But there are   =  = 10  ways to select these 3 questions among the given 5.


So, the final probability is  P =  = 0.04627 = 4.627%.

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