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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} \\…

o-hans-The-probability-that-James-speaks-the-truth-is-60-and-for-John-this-probability-is-30-What-is-the-probability-that-they-contradict-each-other-

Question Number 108448 by bobhans last updated on 17/Aug/20 $$\:\:\frac{\beta{o}\beta{hans}}{\nparallel} \\ $$$${The}\:{probability}\:{that}\:{James}\:{speaks}\:{the}\:{truth}\:{is}\:\mathrm{60}\:\% \\ $$$${and}\:{for}\:{John}\:{this}\:{probability}\:{is}\:\mathrm{30}\:\%. \\ $$$${What}\:{is}\:{the}\:{probability}\:{that}\:{they}\:{contradict}\: \\ $$$${each}\:{other}?\: \\ $$ Terms of Service Privacy Policy…