Question 363556: Assume that you are taking a six-question true or false quiz.
A.How many different ways are there to answer all six questions?
B. How many ways are there to get no questions wrong? one question? two questions?
C. If, not having studied, you simply guess at each answer what are your chances of getting two or more correct?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Assume that you are taking a six-question true or false quiz.
A.How many different ways are there to answer all six questions?
Ans: 2^6 = 64
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B. How many ways are there to get
no questions wrong? 1/64
one question wrong? 6C1(1/2)^6 = 6/64
two questions wrong? 6C2(1/2)^6 = 15/64
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C. If, not having studied, you simply guess at each answer what are your chances of getting two or more correct?
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[6C2+6C3+6C4+6C5+6C6]/64 = 1 - [6C0+6C1}/64 = 1 - [1+6]/64 = 57/64
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Cheers,
Stan H.
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