A contest will contain n questions each of which is to be answered either true or false. Anyone who answers all n questions correctly will be a winner what is the least value of n for which the probability is less then 1/1000 then a person who randomly guesses the answer to each q's will be a winner? Choose the correct choice from the following answers:  A) 5  B) 10  C) 50  D) 100  E) 1000
The probability that a person will randomly guess all nn questions correctly is 1/2n1, so we want the value of nmin for which 1/2n&lt;1&lt;11000 --&gt; 2n&gt;1000 as nn is an integer nmin==10 (2^10=1024&gt;1000).   Answer: 10.
<result>B</result>
A contest will contain n questions each of which is to be answered either true or false. Anyone who answers all n questions correctly will be a winner what is the least value of n for which the probability is less then 1/1000 then a person who randomly guesses the answer to each q's will be a winner?