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Shuffling Hats

Ex. 5-6 from Simon resampling text: What are the chances of hats being shuffled and then re-paired with original owner?

6 hats, 6 owners.

NUMBERS 1,6 a

The hats

NUMBERS 1,6 b

The owners

REPEAT 1000
SHUFFLE b c

shuffle the hats

SUBTRACT a c d
COUNT d =0 e

A 0 indicates the hat went with its original owner

SCORE e z
END
HISTOGRAM z

The x-axis indicates the number of hats that went back to their owners.