  Possible outcomes of neutrino events at both Super-Kamiokande and SNO for a
type-II supernova are analyzed considering the uncertainties in SN neutrino
spectra (temperature) at emission, which may complicate the interpretation of
the observed events. With the input of parameters deduced from the current
solar and atmospheric experiments, consequences of direct-mass hierarchy
$m_{\nu_{\tau}} \gg m_{\nu_{\mu}} > m_{\nu_{e}}$ and inverted-mass hierarchy
$m_{\nu_{e}} > m_{\nu_{\mu}} \gg m_{\nu_{\tau}}$ are investigated. Even if the
$\nu$ temperatures are not precisely known, we found that future experiments
are likely to be able to separate the currently accepted solutions to the solar
neutrino problem (SNP): large angle MSW, small angle MSW, and the vacuum
oscillation, as well as to distinguish between the direct and inverted mass
hierarchies of the neutrinos.
