*3. A fortune teller claims to predict whether or not 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.

We say that the claim is true if the fortune teller makes at least eight correct predictions.

What is the probability that the claim is proved true by a "fluke"?