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Question

A student is given 6 questions in a true or false examination. If he gets 4 or more correct answers he passes the examination. The probability that he passes the examination is

A
5/32
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B
7/32
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C
11/32
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D
3/32
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Solution

The correct option is C 11/32
Probability for correct answer: 12
Probability for incorrect answer: 12
Selection of getting 4 correct answers: 6C4
Probability if he gets 4 or more correct answers =P(4)+P(5)+P(6)
=64C(12)4(12)2+65C(12)5(12)1+(12)6
=(12)6[64C+65C+1]
=1132

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