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The probability to answer all N questions right by guessing randomly is:
N=1 --> P(N)=(1/2)^1=1/2
N=2 --> P(N)=(1/2)^2=1/4
...
N=10 --> P(N)=(1/2)^10=1/1,024

So, one has to answer, at least, all 10 questions right to win by guessing randomly

Answer is (B)

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