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Category: Probability and Statistics

In-a-properly-shuffled-deck-what-is-the-probability-that-the-last-10-cards-are-in-order-A-2-3-4-5-9-10-J-K-Q-

Question Number 43805 by Penguin last updated on 15/Sep/18 $$\mathrm{In}\:\mathrm{a}\:\mathrm{properly}\:\mathrm{shuffled}\:\mathrm{deck},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{that}\:\mathrm{the}\:\mathrm{last}\:\mathrm{10}\:\mathrm{cards}\:\mathrm{are}\:\mathrm{in}\:\mathrm{order}: \\ $$$${A}\heartsuit,\:\mathrm{2}\heartsuit,\:\mathrm{3}\heartsuit,\:\mathrm{4}\heartsuit,\:\mathrm{5}\heartsuit,\:\mathrm{9}\spadesuit,\:\mathrm{10}\spadesuit,\:\mathrm{J}\spadesuit,\:\mathrm{K}\spadesuit,\:\mathrm{Q}\spadesuit \\ $$ Commented by Penguin last updated on 15/Sep/18 $$\mathrm{This}\:\mathrm{just}\:\mathrm{happened}\:\mathrm{to}\:\mathrm{a}\:\mathrm{friend}\:\mathrm{in}\:\mathrm{a}\:\mathrm{deck}\:\mathrm{that}\:\mathrm{was} \\…