This is when the real part of the Lebesgue-Probability of an event is not equal to zero. If the probability of rolling a five on the Lebesgue Dice were 0.5+i, then the we expect on average after 10 rolls, five never to appear 5 times and the disappear through another dimension. No isomorphism has been found between Complex Probability and a standard group, and the Manning-McArdle Conjucture states that Complex-Probability does not lead to consistant answers unless the imaginary part is equal to some integer times the square root of 7.