SOLUTION: A multiple-choice quiz of nine questions is given. Each question has five possible answers. If a student guesses at all the answers, find the probability that six out of nine are c

Algebra.Com
Question 816316: A multiple-choice quiz of nine questions is given. Each question has five possible answers. If a student guesses at all the answers, find the probability that six out of nine are correct. (See Example 3. Round your answer to four decimal places.)
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A multiple-choice quiz of nine questions is given. Each question has five possible answers. If a student guesses at all the answers, find the probability that six out of nine are correct.
--------
Binomial Problem with n = 9 and p(correct) = 1/5
-----
P(x = 6) = 9C6*(1/5)^6*(5/6)^3 = binompdf(9,1/5,6) = 0.0028
------------
Cheers,
Stan H.
============

RELATED QUESTIONS

A student is taking a multiple choice test with 3 questions, each of which has five... (answered by ikleyn)
A multiple choice quiz consists of 7 questions, each with 3 possible answers. If a... (answered by ewatrrr)
A multiple choice trivia quiz has 10 questions, each with 5 possible answers. If someone... (answered by ewatrrr)
In a history class, student take a weekly multiple choice quiz consisting of 6 questions, (answered by stanbon)
A multiple choice test has 30 questions. Each question has five possible answers, of... (answered by stanbon)
Please help. A multiple choice test has 20 questions. Each question has five possible... (answered by ikleyn,solver91311)
an unprepared student makes a random guesses on all questions if her multiple choice... (answered by robertb,edjones)
Six questions are in a multiple choice quiz. Each question has 5 possible answers. A... (answered by ikleyn)
If a student randomly guesses at 15 multiple-choice questions, find the probability that... (answered by Boreal)