Marinada '22

[lang=hr] Medvjedić Koda lovi losose u rijeci za ručak. Lososi plivaju u liniji, jedan iza drugog, te ih Koda redom pokušava uhvatiti. Za svakog lososa, vjerojatnost da ga Koda uhvati je $0.5$. Kodi su dovoljna $3$ lososa za ručak pa će prestati s lovom nakon što ulovi $3$ ribe. Losos Luka je 5. riba u liniji - koja je vjerojatnost da će Luka preživjeti? [/lang] [lang=en] The cub bear Koda is catching salmon for lunch in the river. The salmons are swimming in line, one after the other, and Koda is trying to catch them in order. For each salmon, the probability of Koda catching it is $0.5$. Koda only needs $3$ salmons for lunch so he will stop his hunt after he catches $3$ fish. Luka the salmon is the 5. fish in line - what is the probability he survives? [/lang]