SOLUTION: each question of a 5 question multiple choice exam gas 3 possible answers. suppose a student picks an answer at random for each question. find the probability the student selects t
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Question 875115: each question of a 5 question multiple choice exam gas 3 possible answers. suppose a student picks an answer at random for each question. find the probability the student selects the correct answer on all of the questions
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The probability of 
successes in 
trials where 
is the probability of success on any given trial is given by:
\ =\ {{n}\choose{k}}\left(p\right)^k\left(1\,-\,p\right)^{n\,-\,k})
Where 
is the number of combinations of things taken at a time and is calculated by !})
You need to calculate
\ =\ {{5}\choose{5}}\left(\frac{1}{3}\right)^5\left(1\,-\,\frac{1}{3}\right)^{5\,-\,5})
As an aid to doing this calculation, remember that 
and anything raised to the zero power is 1.
John
My calculator said it, I believe it, that settles it
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