  We employ the flavor SU(3) symmetry to analyze semileptonic decays of
anti-triplet charmed baryons ($\Lambda^{+}_{c},\Xi_{c}^{+,0}$) and find that
the experimental data on ${\cal B}(\Lambda_c\to\Lambda \ell^+\nu_{\ell})$
implies $\mathcal{B}(\Xi_c^0\to\Xi^-e^+\nu_{e})=(4.10\pm0.46)\%$ and
$\mathcal{B}(\Xi_c^0\to\Xi^-\mu^+\nu_{\mu})= (3.98\pm0.57)\%$. When this
prediction is confronted with recent experimental results from Belle
collaboration $\mathcal{B}(\Xi_c^0\to\Xi^-e^+\nu_e)=1.31(04\pm07\pm38)\%$ and
$\mathcal{B}(\Xi_c^0\to\Xi^-\mu^+\nu_{\mu})=1.27(06\pm10\pm 37)\%$, it is found
that the SU(3) symmetry is severely broken. We then consider the generic SU(3)
breaking effects in these decays and find that the data can be accommodated in
different scenarios but the breaking effects are inevitably large. In some
interesting scenarios, we also explore the testable implications in these
scenarios which can be tested with more data become available. Similar analyses
are carried out for semileptonic anti-triplet beauty baryon to octet baryons
and anti-triplet charmed baryons. The validity of SU(3) for these decays can
also be examined when data become available.
