where marbles are dispensed into an array of pegs The pegs

Last updated: 3/8/2023

where marbles are dispensed into an array of pegs The pegs force the marbles to randomly change direction At the bottom of the board are bins to catch the marbles 0 1 2 3 4 5 6 7 When a falling marble strikes a peg it will either bounce left or right Galton s motivation was to study the final distribution of marbles amongst the bins 1 Consider a quincunx with only 3 rows of pegs a Draw this quincunx and label the bins starting with zero on the far left b How many bins does it have to catch the marbles c Count the number of different paths a marble could take to eventually land in bin 2 How many are there d How many different paths to land in bin 1 e How many paths to land in bin 0 f How many paths to land in bin 3