SOLUTION: In a Statistics Test, there are 10 multiple choice questions each with 3 possible answers. Find the probability that a student get 8 correct questions by guessing

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Question 1199987: In a Statistics Test, there are 10 multiple choice questions each with 3 possible
answers. Find the probability that a student get 8 correct questions by guessing
Answer by ikleyn(52874) About Me  (Show Source):
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In a Statistics Test, there are 10 multiple choice questions each with 3 possible answers.
Find the probability that a student get 8 correct questions by guessing
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            It is a binomial distribution probability problem. 


The number of trials n= 10;  the number of success trials k= 8;
the probability of successful individual trial (right guess) is p= 1/3.


Use the standard binomial formula for the probability 


    P = C%5B10%5D%5E8%2A%281%2F3%29%5E8%2A%282%2F3%29%5E2 = %28%2810%2A9%29%2F2%29%2A%281%2F3%29%5E8%2A%282%2F3%29%5E2 = 0.003048316.    ANSWER

Solved,  with explanations.

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To see many other similar  (and different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.