Chaos Scroll and Liar Tree probability rates

First one I've taken down info on:
5 str clean
Avoid Scroll: 5 str 1 dex
Liar Sap:: 6 str
Avoid Scroll: 6 str 1 dex
Liar Sap: 7 str
Avoid Scroll: 7 str 1 dex
Liar Sap: 9 str 6 dex
Liar Sap: 10 str 8 dex
Liar Sap: 12 str 10 dex
Liar Sap: 13 str 10 dex