March 18th, 2013, 10:54 am
Here is a game which was offered to my daughter: Fish and Fisher.I explain briefly the rules.You have a boat with 2 fishers (red and green), 5 empty squares, a square with 4 fishes (pink, blue, orange and yellow), 5 empty squares and the sea.At each turn, you roll a dice with the 6 colors, if the color is red or green, the boat moves by one square, if the color corresponds to a fish, this fish moves by one square.When the boat reaches one or several fishes, it caughts them, if the fish reaches the sea, it's saved.First Question: What are the probabilities that 0,1,2,3 or 4 fishes being caught?Extension: If the boat have caught fishes, the colors corresponding to these fishes will move the boat.What are the new probabilities?Second Extension: One player chooses the fishs and the other the fishers, if one or several fishes reaches the sea, its color will be used for another fish at the discretion of the fishes player.What is his optimal choice and what are the new probabilities?
Last edited by
Vanubis1 on March 25th, 2013, 11:00 pm, edited 1 time in total.