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In a test of “n” questions, each question has to be answered as-
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08 Mar 2021, 09:35
08 Mar 2021, 09:35
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In a test of “n” questions, each question has to be answered as either true or false. What is the maximum value of “n” so that probability of answering all the questions as true is more than \(\frac{1}{100}\)?
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Enter your value.
Show: :: OA
\(6\)
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Re: In a test of “n” questions, each question has to be answered as-
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09 Mar 2021, 00:06
09 Mar 2021, 00:06
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swiikiller wrote:
In a test of “n” questions, each question has to be answered as either true or false. What is the maximum value of “n” so that probability of answering all the questions as true is more than \(\frac{1}{100}\)?
Enter your value.
Enter your value.
Show: :: OA
\(6\)
Good Question!
Since,
Prob. of getting a true = \(\frac{1}{2}\)
Prob. of getting a false = \(\frac{1}{2}\)
Therefore, Prob. of getting all answers as true = \((\frac{1}{2})^n\)
i.e. \((\frac{1}{2})^n > \frac{1}{100}\)
\(100 > 2^n\)
\(100 > 2^6\)
So, the maximum value could be \(6\)
Re: In a test of n questions, each question has to be answered as-
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06 Feb 2023, 06:02
06 Feb 2023, 06:02
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