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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?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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