v jvyy tb jvgu bar punapr bhg bs gur ahzore bs pneqf. vs jr ybbx ng gur bccbfvgr, gb znxr gur fhssyr jvgubhg "pbyyvfvbaf", lbh arrq cvpx bar pneq sbe gur svefg qrpx naq cvpx nabgure pneq, qvssrerag sebz gur bar bs gur svefg qrpx. fb ba naq fb sbegu juvpu tvirf lbh 52! * 51!. fvapr gur gbgny ahzore bs fuhssyrf vf 52! *52! jryy gur cebonovyvgl vf 1/52, vs 52 vf gur ahzore bs pneqf.
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I don't think this works if you imagine two 3 card decks.
hmm it seems so... but now i am too tired to think :-(