SOLUTION: a student takes a 20 question, multiple choice exam with five choices for each question. if the student is guessing, find the following probabilities getting every question but two

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Question 464846: a student takes a 20 question, multiple choice exam with five choices for each question. if the student is guessing, find the following probabilities getting every question but two wrong
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Note: The probability of x successes in n trials is:
P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively.
In this case p (guessing right) = .20 and q = .80
nCx = n%21%2F%28x%21%28n-x%29%21%29 |20C2 = 190
P(guessing 18 out of the 20 incorrectly) = 190(.20)^2(.80)^18 =.1369