  In this paper, we study spectral measures whose square integrable spaces
admit a family of exponential functions as an orthonormal basis. First, we
characterize the spectrality of infinite convolutions generated by a sequence
of admissible pairs. Next, we show that given finitely many admissible pairs,
almost all random convolutions are spectral measures. Moreover, we give a
complete characterization of spectrality of random convolutions for some
special cases.
