SOLUTION: A student takes a true-false test consisting of 13 questions. Assuming that the student guesses at each question, find the probability that the student answers exactly 11 questions

Algebra ->  Permutations -> SOLUTION: A student takes a true-false test consisting of 13 questions. Assuming that the student guesses at each question, find the probability that the student answers exactly 11 questions      Log On


   



Question 286162: A student takes a true-false test consisting of 13 questions. Assuming that the student guesses at each question, find the probability that the student answers exactly 11 questions correctly.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
t=.5 and f=.5
We could expand the binomial (t+f)^13 and get the term t^11f^2
Combination=nCr=13C11=78 coefficient of the number.
78*.5^11*.5^2
=.0095 the probability that the student answers exactly 11 questions correctly.
.
Ed