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Mathematics 13 Online
OpenStudy (anonymous):

Michael takes a multiple-choice test with 5 answer choices for each question. If he randomly answers every question what is his expected score?

OpenStudy (inkyvoyd):

20%

OpenStudy (inkyvoyd):

as number of questions approaches infinity.

OpenStudy (anonymous):

really depends on how many questions on the test right?

OpenStudy (inkyvoyd):

yes, in that case, use nCr ((p)^r)(1-p)^(n-r)

OpenStudy (anonymous):

oh right, expected "score" not expected number of correct answers.

OpenStudy (inkyvoyd):

n= questions, r=number of correct, p=probability of correct.

OpenStudy (anonymous):

inkyvoyd is right, expected "score" is 20% expected number of correct answer is .2 n if n is the number of questions answered

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