Math help?

Hypothetically speaking, if the chance of a vaccinated person being able to contract a certain disease is 6 out of 100, and the odds of a vaccinated person being able to transmit a certain disease is also 6 out of 100, then what is the chance of one random vaccinated person giving that certain disease to one other random vaccinated person?

This is a math problem I need help with, not a factual statement about a disease. I'm trying to express a concept with actual numbers rather than just "very unlikely."

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