In this paper it is proved that there are no scramble sets with nonzero invariant probability measure and especially there are no sequence-distribution-scramble sets with nonzero invariant probability measure in the minimal mappings of a compace metric space and interval mappings with zero topological entropy 摘要证明紧度量空间的极小映射以及拓扑熵为零的区间映射不存在具有非零不变概率测度的混沌子集,特别不存在具有非零不变概率测度的序列分布混沌子集。