How to reconcile the rule: “The likelihood of a thing is treated as certainty” with the rule “Certainty is not removed by doubt”?

Question:
The Honorable Shaykh, may Allah grant you success, asks: How do we reconcile the rule that the likelihood of a thing is treated as certainty with the jurisprudential rule that certainty is not removed by doubt?

Answer:
Do you have certainty in this? This applies if there is certainty. Right now, there is no certainty. What is the certainty of the one who touched a woman for desire? We say it is not removed by doubt; there is no certainty. Yes, but this applies to a person who is in a state of ritual purity. This is certainty regarding a confirmed state of ritual purity, and then he doubts whether he has broken it. This is the certainty that is not removed by doubt. Yes.