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A test consists of 10 truefalse questions To pass the test a student must answer at least 7 questions correctly on a true-false exam what is the probability that he or she get them all right?
Wiki User
∙ 11y ago
The probability of getting all 10 questions right is, P(10) =
(1/2)10 =
0.0009765...
9 questions right, P(9) =
10C9 ∙(1/2)10 =
10∙(1/2)10 ~ 0.009765...
8 questions right, P(8) =
10C8 ∙(1/2)10 ~ 45∙(1/2)10 ~ 0.043945...
7 questions right, P(7) =
10C7 ∙(1/2)10 ~ 120∙(1/2)10 ~ 0.1171875...
The probability of passing the test with any of the grade is the sum of all the
above; P(passing)
~ 0.1719 ~ 17.2%
Wiki User
∙ 11y ago
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