  Decay rates of the B-meson are studied through charmless and strangless
transitions into pi, rho, omega and gamma systems. The important features of
these modes are their clean signatures. The CLEO II collaboration has recently
reported the value BR(B^0 --> pi^+ pi^-) = (1.3_{-0.6}^{+0.8} +/- 0.2)x10^{-5}.
This value test our approach to nonleptonic B-decays within the standard model
(SM). Since B --> gamma gamma is far beyond our experimental reach, we believe
that the correct determination of the order of magnitude ~10^{-10} for BR(B -->
gamma gamma) provides the most reliable value needed at this moment. The most
recent experimental report by the CLEO collaboration on BR(B --> K* gamma) =
(4.5 +/- 1.5 +/- 0.9)x10^{-5} represents a confirmation of our SM prediction
for the B --> K* gamma decay. This experimental result, despite of its great
importance for the SM and the physics beyond the SM, enables us to predict the
value BR(B --> rho gamma) ~ (3.5 +/- 3.3)x10^{-6}.
