While obviously your use of condoms substantially cuts the risk, 8 days before her next menstrual period is (assuming a normal 28 day cycle) much less likely to find her ovulating.
Obviously there is a limit to what medical science can determine with such limited information.
The answer I provide will necessarily be a rough estimate.
I would say it is slightly more likely that you are the father than that he is.
But obviously only genetic testing would be able to determine for sure.
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