  For any pair of real numbers $(i,j)$ with $0<i,j<1$ and $i+j=1$, we prove
that the set of $p$-adic mixed $(i,j)$-badly approximable numbers $\bad_p(i,
j)$ is 1/2-winning in the sense of Schmidt's game. This improves a recent
result of Badziahin, Levesley, and Velani on mixed Schmidt conjecture.
