In (1-2), global convergence, for a stochastic adaptic control based on (modified) least squares algorithms has been established. The proofs of lemma 3.4 of (1) and ??(t-d)??0 of (2) both made use or (3,A6). However, the conclusion of (3,A6) is questionable. Without using these conclusion, this paper attemps to establish global convergence for a discrete-time stochastic adaptive control and prediction based on slightly modified least squares algorithms for linear time-Invariant discrete-time system having general delay and colored noise by slightly strengthening the condition of noise.