## LEGO block distributions

Recently, after purchasing a couple of 'purple buckets' of basic LEGO building blocks, I took the time to count the distribution of pieces before throwing them in with my myriad other bricks. The label on the outside of the bucket stated that there were 400 bricks inside... would that be true? would each bucket contain exactly 400 bricks? and would each contain the same number of each type of brick (color and size)?

Forty-five minutes and two empty purple buckets later I had my answers:

LEGO set #2494 ('Purple Bucket')
1x1 1x2 1x3 1x4 1x6 1x8 2x2 2x3 2x4 2x6 Color Total
white 20 20 8 14 8 2 10 4 8 1 95
blue 20 20 8 14 8 2 10 4 8 1 95
red 17 16 6 12 6 4 8 4 7 1 81
yellow 17 16 6 12 6 4 8 4 7 1 81
black 12 10 4 8 2 2 4 2 4 0 48
Size Total 86 82 32 60 30 14 40 18 34 4 400 TOTAL

As you can see, yes, there were, in fact, exactly 400 bricks in each bucket... and each bucket contained exactly the same number of each piece. Whew -- I can sleep at night. Some interesting notes:

• There are equal numbers of white and blue bricks as well as red and yellow bricks.
• The black bricks seem to get a raw deal: by far the fewest number when partitioned by color (keep that in mind when you set out to build a LEGO Darth Vader).
• The small 1x1's are the most common by size.
• Each brick has a number of 'pips' equal to its width times height; the total number of 'pips' in the bucket is: 1466.
And now for 'the big blue tub'...

LEGO set #3033 ('Blue Tub')
1x1 1x2 1x3 1x4 1x6 1x8 2x2 2x3 2x4 2x6 Color Total
white 40 60 12 40 8 4 40 12 24 4 244
blue 40 60 12 40 8 4 40 12 24 4 244
red 40 60 12 40 8 4 40 12 24 4 244
yellow 40 60 12 40 8 4 40 12 24 4 244
black 20 28 8 24 0 0 20 8 12 0 120
green 12 28 4 20 0 0 20 8 12 0 104
Size Total 192 296 60 204 32 16 200 64 120 16 1200 TOTAL

Notes:

• This is obviously not just three times the number of bricks in the 400pc Purple Bucket above (there are green bricks for one thing).
• #3033 contains no green or black 1x6 or 1x8's (!)
• In fact, those lengths are rather few in number for all colors.
• White, blue, red and yellow have the same numbers of each size brick.
• The 'Silver Anniversary' tub (LEGO #3026) had this same brick count + 1 Silver 2x4.
• I also have a webpage that details how the pieces are grouped within the buckets when first opened.