Using the model independent method of Villante , Fiorentini , Lisi , Fogli , Palazzo , and the rates measured in the SNO and Super-Kamiokande solar neutrino experiment , we calculate the amount of active \nu _ { \mu } or \nu _ { \tau } present in the flux of solar neutrinos on Earth .
We show that the probability of \nu _ { e } \to \nu _ { \mu, \tau } transitions is larger than zero at 99.89 % CL .
We find that the averaged flux of \nu _ { \mu, \tau } on Earth is larger than 0.17 times the ^ { 8 } \mathrm { B } \nu _ { e } flux predicted by the BP2000 Standard Solar Model at 99 % CL .
We discuss also the consequences of possible \nu _ { e } \to \bar { \nu } _ { \mu, \tau } or \nu _ { e } \to \bar { \nu } _ { e } transitions of solar neutrinos .
We derive a model-independent lower limit of 0.52 at 99 % CL for the ratio of the ^ { 8 } \mathrm { B } \nu _ { e } flux produced in the Sun and its value in the BP2000 Standard Solar Model .