That's not how probability works.

10 trials with a 10% success rate yields a 65.13% chance for at least one success.

100 trials with a 0.33% success rate yields a 28.39% chance for at least one success.

You have to use the binomial probability theorem to determine any particular number of hits.

trials! / ( successes! * failures! ) * P_success ^ successes * P_failure ^ failures