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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)!]

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Q: 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?
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