A Comparison of Frequencies of Occurrence of p-Generic and Non-p-generic Turing Degrees

Ingrassia proved that the p-generic Turing degrees are dense in the r.e. degrees and Ding De-cheng proved that the non-p-generic degrees are dense in the r.e. degrees too. But, do these two kinds of degrees have the same frequency of occurrency in every part of the r.e. degrees? In this note we give a negative answer.