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So, (C1,C1) (C2,C2) (C3,C3) (C4,C4) (C5,C5) (C6,C6) (C7,C7) (C8,C8) is what he ended up with.

He stated this was good because there was an equal chance of getting them. I thought that this was highly unusual, and suggested there was no randomness since he received two of every possible item.

That brings me to the title question. What is the probability of receiving 8 pairs of identical boxes choosing from 8 items 16 times?

I thought it would be 12.5% for drawing a single item and 1.5% of matching a box then [(1.5%)(1.5%)]

^{16}for getting two of all 8.

Any help would be appreciated.

Thank you