Hi ya'll.
Not sure if this is the kind of thing that gets posted on this site, but I'm working on a design project with some stats I'm trying to crunch, so I've created a hypothetical problem to represent it.
Premise:
You and a friend are each given a bag filled with 288 small wooden cubes. 218 of the cubes are red and 70 are black. You begin playing a game with your bags wherein you stack your cubes randomly into columns 6 cubes high. Once your bags are empty and your 48 columns of 6 cubes are made, each player counts how many columns have 6 red cubes. The player with the most columns of 6 red cubes wins.
Question:
What is the average number of columns made of only red cubes one player makes in one round of this game?
Not sure if this is the kind of thing that gets posted on this site, but I'm working on a design project with some stats I'm trying to crunch, so I've created a hypothetical problem to represent it.
Premise:
You and a friend are each given a bag filled with 288 small wooden cubes. 218 of the cubes are red and 70 are black. You begin playing a game with your bags wherein you stack your cubes randomly into columns 6 cubes high. Once your bags are empty and your 48 columns of 6 cubes are made, each player counts how many columns have 6 red cubes. The player with the most columns of 6 red cubes wins.
Question:
What is the average number of columns made of only red cubes one player makes in one round of this game?