she thought that ---
这边的that从句是作为thought动词后面的宾语从句,这边的that可以省略.
另外宾语从句中的that可以省略.
there was a chance in a million that she might be righ
这边的that是作为chance的同位语从句,后面的that从句和chance是独立同等相互补充的作用.that不可以省略