5. There are 21 workers in a certain company, out of which 12 are vaccinated against COVID-19, while 9 are not. A nurse

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5. There are 21 workers in a certain company, out of which
12 are vaccinated against COVID-19, while 9 are not. A
nurse was hired in this company. Each day, after coming to work,
the nurse invites a randomly selected employee of the company for a
medical checkup. If the employee isn’t vaccinated yet, the nurse
administers a shot. Let X denote the number of the working day when
the nurse invites a vaccinated employee for the first time.
Calculate P(X ≥ 3).