A contest will consist of n questions, each of which is to be answered wither "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 than 1/1000 that a person who randomly guesses the answer to each question will be a winner?	Choose the correct choice from the following: A) 5 B) 10 C) 50 D) 100 E) 1000
(1/2)^n &lt; 1/1000   (1/2)^n &lt; (1/2)^3*(1/5)^3   10ecause 1/5 ~ (1/2)^2   n &gt;  3 + 3*2= 
<gadget id="calculator"> 3 + 3*2</gadget>
<output>9</output>
9   ANSWER: 10
<result>B</result>
A contest will consist of n questions, each of which is to be answered wither "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 than 1/1000 that a person who randomly guesses the answer to each question will be a winner?