  A recent study by Randall and Sundrum shows that models of Extended
Technicolor (ETC) have interesting implications on rare B decays. We extend
their study to the decay B -> mu+ mu- X. ETC models with a GIM mechanism
predict a decay rate that is a factor of order 30 above the Standard Model,
violating the experimental upper bound by a factor of 2-4. ``Traditional" ETC
models predict a decay rate that is a factor of order 4 above the Standard
Model, and will be probed when an improvement in the sensitivity of experiments
by a factor of order 2-4 is achieved.
