The following passage comes from the New Zealand Herald newspaper, referring to Covid-19 vaccinations and infections in an outbreak in late 2021. At the time, everyone aged 12 years and over was eligible for vaccination.

A related report analysed the vaccination status of Aucklanders who caught Covid-19 in November 2021.

In total, 71 per cent of infections in those aged 12 and over were in those not fully vaccinated, despite that group being only 15 per cent of the 12+ population.

Maori, Pacific, European, and Asian ¯

are the four major ethnicities in New Zealand.

Of people unvaccinated and aged 12+, 4.1 per cent of Maori, ¯

1.6 per cent of Pacific and 0.6 per cent of European and Asian people got Covid-19 in November.

Define an appropriate sample space and events, and write down all the probability statements implied by the text.