Marinada '23

[lang = hr] Igraća kocakica s $2$ strane (označenih brojevima od glava do pismo) baca se u prvom potezu igre. Ukoliko padne pismo sljedeći potez se ne baca kocakica. Ako padne glava (ili se kocakica nije niti bacala), u sljedećem potezu kocakica se ponovo baca. Kolika je vjerojatnost da se kocakica baca u desetom potezu? (Ako je vaše rješenje $x$, zapišite: $\lfloor x*10^6 \rfloor$) [/lang] [lang = en] The player's dice from the $2$ side (marked with numbers from heads to letters) is rolled in the first turn of the game. If a letter falls, the next move is no dice. If heads fall (or the die was not even thrown), in the next move the die is rolled again. What is the probability that the die is rolled on the tenth move? (If your solution is $x$, write: $\lfloor x*10^6 \rfloor$) [/lang]