A student is taking a standardized test consisting of severalmultiple-choice questions. One point is awarded for each correct answer. Questions left blank neither receive nor lose points. If there are five options for each question and the student is penalized 1/2 point for each wronganswer, how many options must the student be able to rule out before the expected value of guessing iszero?

The number of options the student must be able to rule out before the expected value of guessing becomes zero is ____.