Suppose the test is so hard that I, with lesser knowledge, can only answer one question based on actual knowledge. I answer that question, and guess at the other 99. You, who know twice as much as I, can answer two questions based on knowledge. So you guess at 98 answers.
As you can readily imagine, the odds of you getting a higher grade than I are very slight. In fact, over 45 percent of the time, in repeated trials, I would outscore you, even though my knowledge is half that of yours.
I'm confused (or he is). Assume he's talking directly to me, i.e. I'm the guy who knows twice as much as him.
In the long run he will score 1 + ( 99 * 0.5 ) = 50.5.
My expectancy is 2 + ( 98 * 0.5 ) = 51.