A fortune-teller claims to predict whether people will amass financial wealth in their lifetime by examining their handwriting. To verify this claim, 10 millionaires and 10 university professors were asked to provide samples of their handwriting. The samples are then paired, one millionaire and one professor, and presented to the fortune-teller. The claim is considered true if the fortune-teller makes at least eight correct predictions. What is the probability of realizing such an outcome?