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A test consist of 10 true or false questions 2 pass the test the student must answer atleast 8 correctly if the student guesses on each question what is the probability that the student will pass?
Wiki User
∙ 11y ago
The probability that the student will pass is; P(pass)
=
P(10) + P(9) + P(8) =
[10C10 + 10C9 + 10C8] / (.5)10 =
56/1024 ~
~ 0.0547 ~ 5.47%
where nCr =
n!/[r!(n-r)!]
Wiki User
∙ 11y ago
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A test consists of 10 true or false questions to pass the test the student must answer atleast 8 correctly if the student guesses on each question what is the probability that the student will pass?
7/128, or about 5.5% The student has a 1/2 probability of getting each question correct. The probability that he passes is the probability that he gets 10 correct+probability that he gets 9 correct+probability that he gets 8 correct: P(passes)=P(10 right)+P(9 right)+P(8 right)=[(1/2)^10]+[(1/2)^10]*10+[(1/2)^10]*Combinations(10,2)=[(1/2)^10](1+10+45)=56/1024=7/128.
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