Marinada '23

[lang = hr] U $3 \times 3 \times 3$ kocki nasumično je odabrano $5$ točaka i $6$ kocaka $1\times1\times1$ (svaka točka malih kocka sadržana je u velikoj kocki). Koliki je očekivan broj odabranih $1\times1\times1$ kocaka koje sadrže barem jednu označenom točku? [/lang] [lang = en] In a $3 \times 3 \times 3$ cube we randomly pick $5$ points and $6$ cubes $1\times1\times1$ (every point of the little cubes is contained within the big cube). What is the expected number of chosen $1\times1\times1$ cubes which contain at least one chosen point [/lang ]