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where marbles are dispensed into an array of pegs The pegs force the marbles to...

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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

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