Simulating win probabilities of the CamelUp boardgame

Camel Up is a deceptively simple board game in which the aim is to predict the outcome of a camel race. I’ll quickly try to explain the game now, although it’s always hard to explain a boardgame without an actual demonstration. The camel movement is randomly generated from dice rolls as follows. Five dice coloured for each of the five camels, each labelled with the numbers 1-3 twice, are placed into a container (decorated as a pyramid, since the game is set in Egypt), which is then shaken.